Plugging in different values of k, we obtain different coterminal angles of 45. if it is 2 then it is in the third quadrant, and finally, if you get 3 then the angle is in the Identify the quadrant in which the coterminal angles are located. A unit circle is a circle that is centered at the origin and has radius 1, as shown below. When the angles are rotated clockwise or anticlockwise, the terminal sides coincide at the same angle. 390 is the positive coterminal angle of 30 and, -690 is the negative coterminal angle of 30. Coterminal angle of 165165\degree165: 525525\degree525, 885885\degree885, 195-195\degree195, 555-555\degree555. If the terminal side is in the second quadrant ( 90 to 180), then the reference angle is (180 - given angle). The standard position means that one side of the angle is fixed along the positive x-axis, and the vertex is located at the origin. In one of the above examples, we found that 390 and -690 are the coterminal angles of 30. Finding coterminal angles is as simple as adding or subtracting 360 or 2 to each angle, depending on whether the given angle is in degrees or radians. We'll show you how it works with two examples covering both positive and negative angles. (angles from 270 to 360), our reference angle is 360 minus our given angle. Sin Cos and Tan are fundamentally just functions that share an angle with a ratio of two sides in any right triangle. Coterminal angles are those angles that share the terminal side of an angle occupying the standard position. For letter b with the given angle measure of -75, add 360. For any integer k, $$120 + 360 k$$ will be coterminal with 120. When viewing an angle as the amount of rotation about the intersection point (the vertex) In other words, the difference between an angle and its coterminal angle is always a multiple of 360. So, to check whether the angles and are coterminal, check if they agree with a coterminal angles formula: A useful feature is that in trigonometry functions calculations, any two coterminal angles have exactly the same trigonometric values. Definition: The smallest angle that the terminal side of a given angle makes with the x-axis. =4 The exact value of $$cos (495)\ is\ 2/2.$$. So let's try k=-2: we get 280, which is between 0 and 360, so we've got our answer. Coterminal Angles are angles that share the same initial side and terminal sides. But how many? The calculator automatically applies the rules well review below. Parallel and Perpendicular line calculator. Calculate the values of the six trigonometric functions for angle. position is the side which isn't the initial side. A radian is also the measure of the central angle that intercepts an arc of the same length as the radius. So we decide whether to add or subtract multiples of 360 (or 2) to get positive or negative coterminal angles respectively. So, if our given angle is 214, then its reference angle is 214 180 = 34. In one of the above examples, we found that 390 and -690 are the coterminal angles of 30. The given angle is $$\Theta = \frac{\pi }{4}$$, which is in radians. Provide your answer below: sin=cos= If necessary, add 360 several times to reduce the given to the smallest coterminal angle possible between 0 and 360. We will illustrate this concept with the help of an example. tan 30 = 1/3. A unit circle is a circle with a radius of 1 (unit radius). Calculus: Integral with adjustable bounds. As a result, the angles with measure 100 and 200 are the angles with the smallest positive measure that are coterminal with the angles of measure 820 and -520, respectively. If the terminal side is in the first quadrant ( 0 to 90), then the reference angle is the same as our given angle. Determine the quadrant in which the terminal side of lies. The only difference is the number of complete circles. Disable your Adblocker and refresh your web page . When an angle is negative, we move the other direction to find our terminal side. The trigonometric functions are really all around us! Since trigonometry is the relationship between angles and sides of a triangle, no one invented it, it would still be there even if no one knew about it! I don't even know where to start. As the given angle is less than 360, we directly divide the number by 90. From the source of Varsity Tutors: Coterminal Angles, negative angle coterminal, Standard position. When drawing the triangle, draw the hypotenuse from the origin to the point, then draw from the point, vertically to the x-axis. Two triangles having the same shape (which means they have equal angles) may be of different sizes (not the same side length) - that kind of relationship is called triangle similarity. For right-angled triangles, the ratio between any two sides is always the same and is given as the trigonometry ratios, cos, sin, and tan. If we draw it from the origin to the right side, well have drawn an angle that measures 144. For example, if the given angle is 25, then its reference angle is also 25. Write the equation using the general formula for coterminal angles: $$\angle \theta = x + 360n $$ given that $$ = -743$$. The thing which can sometimes be confusing is the difference between the reference angle and coterminal angles definitions. Coterminal angle of 9090\degree90 (/2\pi / 2/2): 450450\degree450, 810810\degree810, 270-270\degree270, 630-630\degree630. Angle is said to be in the first quadrant if the terminal side of the angle is in the first quadrant. Measures of the positive angles coterminal with 908, -75, and -440 are respectively 188, 285, and 280. The formula to find the coterminal angles of an angle depending upon whether it is in terms of degrees or radians is: In the above formula, 360n, 360n means a multiple of 360, where n is an integer and it denotes the number of rotations around the coordinate plane. As we learned from the previous paragraph, sin()=y\sin(\alpha) = ysin()=y and cos()=x\cos(\alpha) = xcos()=x, so: We can also define the tangent of the angle as its sine divided by its cosine: Which, of course, will give us the same result. available. 30 + 360 = 330. To arrive at this result, recall the formula for coterminal angles of 1000: Clearly, to get a coterminal angle between 0 and 360, we need to use negative values of k. For k=-1, we get 640, which is too much. So, if our given angle is 33, then its reference angle is also 33. In the figure above, as you drag the orange point around the origin, you can see the blue reference angle being drawn. Subtract this number from your initial number: 420360=60420\degree - 360\degree = 60\degree420360=60. Reference angle = 180 - angle. from the given angle. add or subtract multiples of 360 from the given angle if the angle is in degrees. So we decide whether to add or subtract multiples of 360 (or 2) to get positive or negative coterminal angles. Learn more about the step to find the quadrants easily, examples, and x = -1 ; y = 5 ; So, r = sqrt [1^2+5^2] = sqrt (26) -------------------- sin = y/r = 5/sqrt (26) Calculate two coterminal angles, two positives, and two negatives, that are coterminal with -90. Negative coterminal angle: =36010=14003600=2200\beta = \alpha - 360\degree\times 10 = 1400\degree - 3600\degree = -2200\degree=36010=14003600=2200. that, we need to give the values and then just tap the calculate button for getting the answers The coterminal angles can be positive or negative. As we found in part b under the question above, the reference angle for 240 is 60 . Our tool is also a safe bet! The reference angle is defined as the acute angle between the terminal side of the given angle and the x axis. Reference angle = 180 - angle. 1. So, if our given angle is 110, then its reference angle is 180 110 = 70. The formula to find the coterminal angles of an angle depending upon whether it is in terms of degrees or radians is: In the above formula, 360n, 360n denotes a multiple of 360, since n is an integer and it refers to rotations around a plane. The reference angle always has the same trig function values as the original angle. Coterminal angle of 360360\degree360 (22\pi2): 00\degree0, 720720\degree720, 360-360\degree360, 720-720\degree720. Coterminal angle of 345345\degree345: 705705\degree705, 10651065\degree1065, 15-15\degree15, 375-375\degree375. So we add or subtract multiples of 2 from it to find its coterminal angles. Calculate the geometric mean of up to 30 values with this geometric mean calculator. For example, if the given angle is 330, then its reference angle is 360 330 = 30. But what if you're not satisfied with just this value, and you'd like to actually to see that tangent value on your unit circle? What if Our Angle is Greater than 360? Its standard position is in the first quadrant because its terminal side is also present in the first quadrant. That is, if - = 360 k for some integer k. For instance, the angles -170 and 550 are coterminal, because 550 - (-170) = 720 = 360 2. When we divide a number we will get some result value of whole number or decimal. The angle shown at the right is referred to as a Quadrant II angle since its terminal side lies in Quadrant II. If you didn't find your query on that list, type the angle into our coterminal angle calculator you'll get the answer in the blink of an eye! For example: The reference angle of 190 is 190 - 180 = 10. Let $$x = -90$$. The figure below shows 60 and the three other angles in the unit circle that have 60 as a reference angle. When two angles are coterminal, their sines, cosines, and tangents are also equal. But if, for some reason, you still prefer a list of exemplary coterminal angles (but we really don't understand why), here you are: Coterminal angle of 00\degree0: 360360\degree360, 720720\degree720, 360-360\degree360, 720-720\degree720. Also, sine and cosine functions are fundamental for describing periodic phenomena - thanks to them, we can describe oscillatory movements (as in our simple pendulum calculator) and waves like sound, vibration, or light. Recall that tan 30 = sin 30 / cos 30 = (1/2) / (3/2) = 1/3, as claimed. This angle varies depending on the quadrants terminal side. To find negative coterminal angles we need to subtract multiples of 360 from a given angle. Take note that -520 is a negative coterminal angle. (angles from 0 to 90), our reference angle is the same as our given angle. Check out 21 similar trigonometry calculators , General Form of the Equation of a Circle Calculator, Trig calculator finding sin, cos, tan, cot, sec, csc, Trigonometry calculator as a tool for solving right triangle. When the terminal side is in the second quadrant (angles from 90 to 180), our reference angle is 180 minus our given angle. In this article, we will explore angles in standard position with rotations and degrees and find coterminal angles using examples. The general form of the equation of a circle calculator will convert your circle in general equation form to the standard and parametric equivalents, and determine the circle's center and its properties. When viewing an angle as the amount of rotation about the intersection point (the vertex ) needed to bring one of two intersecting lines (or line segments) into correspondence with the other, the line (or line segment) towards which the initial side is being rotated the terminal side. Thus 405 and -315 are coterminal angles of 45. Angle is between 180 and 270 then it is the third Thus, the given angles are coterminal angles. Our tool will help you determine the coordinates of any point on the unit circle. W. Weisstein. The most important angles are those that you'll use all the time: As these angles are very common, try to learn them by heart . Take a look at the image. Free online calculator that determines the quadrant of an angle in degrees or radians and that tool is Now use the formula. Since the given angle measure is negative or non-positive, add 360 repeatedly until one obtains the smallest positive measure of coterminal with the angle of measure -520. Given angle bisector The difference (in any order) of any two coterminal angles is a multiple of 360. The coterminal angle of an angle can be found by adding or subtracting multiples of 360 from the angle given. In radian measure, the reference angle $$\text{ must be } \frac{\pi}{2} $$. Let us have a look at the below guidelines on finding a quadrant in which an angle lies. To find the missing sides or angles of the right triangle, all you need to do is enter the known variables into the trigonometry calculator. Coterminal angle of 150150\degree150 (5/65\pi/ 65/6): 510510\degree510, 870870\degree870, 210-210\degree210, 570-570\degree570. Enter the given angle to find the coterminal angles or two angles to verify coterminal angles. all these angles of the quadrants are called quadrantal angles. Draw 90 in standard position. Let us find a coterminal angle of 60 by subtracting 360 from it. Remember that they are not the same thing the reference angle is the angle between the terminal side of the angle and the x-axis, and it's always in the range of [0,90][0, 90\degree][0,90] (or [0,/2][0, \pi/2][0,/2]): for more insight on the topic, visit our reference angle calculator! The word itself comes from the Greek trignon (which means "triangle") and metron ("measure"). Thus 405 and -315 are coterminal angles of 45. This millionaire calculator will help you determine how long it will take for you to reach a 7-figure saving or any financial goal you have. "Terminal Side." Apart from the tangent cofunction cotangent you can also present other less known functions, e.g., secant, cosecant, and archaic versine: The unit circle concept is very important because you can use it to find the sine and cosine of any angle. To determine positive and negative coterminal angles, traverse the coordinate system in both positive and negative directions. As in every right triangle, you can determine the values of the trigonometric functions by finding the side ratios: Name the intersection of these two lines as point. For example, if the given angle is 215, then its reference angle is 215 180 = 35. As we got 2 then the angle of 252 is in the third quadrant. If the sides have the same length, then the triangles are congruent. You can write them down with the help of a formula. The number of coterminal angles of an angle is infinite because there is an infinite number of multiples of 360. 765 - 1485 = -720 = 360 (-2) = a multiple of 360. Substituting these angles into the coterminal angles formula gives 420=60+3601420\degree = 60\degree + 360\degree\times 1420=60+3601. Everybody needs a calculator at some point, get the ease of calculating anything from the source of calculator-online.net. This makes sense, since all the angles in the first quadrant are less than 90. The coterminal angles calculator will also simply tell you if two angles are coterminal or not. Let us find the first and the second coterminal angles. Therefore, the reference angle of 495 is 45. algebra-precalculus; trigonometry; recreational-mathematics; Share. As an example, if the angle given is 100, then its reference angle is 180 100 = 80. Now we would notice that its in the third quadrant, so wed subtract 180 from it to find that our reference angle is 4. The number of coterminal angles of an angle is infinite because 360 has an infinite number of multiples. We know that to find the coterminal angle we add or subtract multiples of 360. Thus, a coterminal angle of /4 is 7/4. Our tool will help you determine the coordinates of any point on the unit circle. The calculator automatically applies the rules well review below. Coterminal angle of 135135\degree135 (3/43\pi / 43/4): 495495\degree495, 855855\degree855, 225-225\degree225, 585-585\degree585. Example 1: Find the least positive coterminal angle of each of the following angles. Trigonometry calculator as a tool for solving right triangle To find the missing sides or angles of the right triangle, all you need to do is enter the known variables into the trigonometry calculator. In the first quadrant, 405 coincides with 45. The reference angle is always the smallest angle that you can make from the terminal side of an angle (ie where the angle ends) with the x-axis. Since $$\angle \gamma = 1105$$ exceeds the single rotation in a cartesian plane, we must know the standard position angle measure. Then the corresponding coterminal angle is, Finding Second Coterminal Angle : n = 2 (clockwise). Here 405 is the positive coterminal angle, -315 is the negative coterminal angle. angles are0, 90, 180, 270, and 360. fourth quadrant. The initial side refers to the original ray, and the final side refers to the position of the ray after its rotation. (This is a Pythagorean Triplet 3-4-5) We now have a triangle with values of x = 4 y = 3 h = 5 The six . Let 3 5 be a point on the terminal side. Sine = 3/5 = 0.6 Cosine = 4/5 = 0.8 Tangent =3/4 = .75 Cotangent =4/3 = 1.33 Secant =5/4 = 1.25 Cosecant =5/3 = 1.67 Begin by drawing the terminal side in standard position and drawing the associated triangle. When the terminal side is in the third quadrant (angles from 180 to 270 or from to 3/4), our reference angle is our given angle minus 180. Did you face any problem, tell us! If the given an angle in radians (3.5 radians) then you need to convert it into degrees: 1 radian = 57.29 degree so 3.5*57.28=200.48 degrees. There are two ways to show unit circle tangent: In both methods, we've created right triangles with their adjacent side equal to 1 . They differ only by a number of complete circles. Now you need to add 360 degrees to find an angle that will be coterminal with the original angle: Positive coterminal angle: 200.48+360 = 560.48 degrees. . We determine the coterminal angle of a given angle by adding or subtracting 360 or 2 to it. See also $$\frac{\pi }{4} 2\pi = \frac{-7\pi }{4}$$, Thus, The coterminal angle of $$\frac{\pi }{4}\ is\ \frac{-7\pi }{4}$$, The coterminal angles can be positive or negative. The coterminal angle of 45 is 405 and -315. To find the trigonometric functions of an angle, enter the chosen angle in degrees or radians. Have no fear as we have the easy-to-operate tool for finding the quadrant of an The second quadrant lies in between the top right corner of the plane. How to determine the Quadrants of an angle calculator: Struggling to find the quadrants With Cuemath, you will learn visually and be surprised by the outcomes. Reference angles, or related angles, are positive acute angles between the terminal side of and the x-axis for any angle in standard position. If the terminal side of an angle lies "on" the axes (such as 0, 90, 180, 270, 360 ), it is called a quadrantal angle. By adding and subtracting a number of revolutions, you can find any positive and negative coterminal angle. The standard position means that one side of the angle is fixed along the positive x-axis, and the vertex is located at the origin. So the coterminal angles formula, =360k\beta = \alpha \pm 360\degree \times k=360k, will look like this for our negative angle example: The same works for the [0,2)[0,2\pi)[0,2) range, all you need to change is the divisor instead of 360360\degree360, use 22\pi2. If the terminal side is in the fourth quadrant (270 to 360), then the reference angle is (360 - given angle). The reference angle depends on the quadrant's terminal side. We have a choice at this point. How would I "Find the six trigonometric functions for the angle theta whose terminal side passes through the point (-8,-5)"?. Then just add or subtract 360360\degree360, 720720\degree720, 10801080\degree1080 (22\pi2,44\pi4,66\pi6), to obtain positive or negative coterminal angles to your given angle. Inspecting the unit circle, we see that the y-coordinate equals 1/2 for the angle /6, i.e., 30. This is useful for common angles like 45 and 60 that we will encounter over and over again. The coterminal angles calculator is a simple online web application for calculating positive and negative coterminal angles for a given angle. Look at the picture below, and everything should be clear! Hence, the given two angles are coterminal angles. Example: Find a coterminal angle of $$\frac{\pi }{4}$$. Because 928 and 208 have the same terminal side in quadrant III, the reference angle for = 928 can be identified by subtracting 180 from the coterminal angle between 0 and 360. To use the coterminal angle calculator, follow these steps: Step 1: Enter the angle in the input box Step 2: To find out the coterminal angle, click the button "Calculate Coterminal Angle" Step 3: The positive and negative coterminal angles will be displayed in the output field Coterminal Angle Calculator Angles that are coterminal can be positive and negative, as well as involve rotations of multiples of 360 degrees! Coterminal Angle Calculator is an online tool that displays both positive and negative coterminal angles for a given degree value. Coterminal angles are those angles that share the terminal side of an angle occupying the standard position. Let's take any point A on the unit circle's circumference. Thus, -300 is a coterminal angle of 60. Another method is using our unit circle calculator, of course. We'll show you the sin(150)\sin(150\degree)sin(150) value of your y-coordinate, as well as the cosine, tangent, and unit circle chart. Calculus: Fundamental Theorem of Calculus So, if our given angle is 332, then its reference angle is 360 332 = 28. 1. One method is to find the coterminal angle in the00\degree0 and 360360\degree360 range (or [0,2)[0,2\pi)[0,2) range), as we did in the previous paragraph (if your angle is already in that range, you don't need to do this step). Thus, 405 is a coterminal angle of 45. From the source of Wikipedia: Etymology, coterminal, Adjective, Initial and terminal objects. A terminal side in the third quadrant (180 to 270) has a reference angle of (given angle 180). Hence, the coterminal angle of /4 is equal to 7/4. Finally, the fourth quadrant is between 270 and 360. For instance, if our given angle is 110, then we would add it to 360 to find our positive angle of 250 (110 + 360 = 250). Visit our sine calculator and cosine calculator! We keep going past the 90 point (the top part of the y-axis) until we get to 144. How to find the terminal point on the unit circle. The unit circle is a really useful concept when learning trigonometry and angle conversion. The original ray is called the initial side and the final position of the ray after its rotation is called the terminal side of that angle. Stover, Stover, Christopher. Some of the quadrant angles are 0, 90, 180, 270, and 360. As a first step, we determine its coterminal angle, which lies between 0 and 360. where two angles are drawn in the standard position. We present some commonly encountered angles in the unit circle chart below: As an example how to determine sin(150)\sin(150\degree)sin(150)? To prove a trigonometric identity you have to show that one side of the equation can be transformed into the other simplify\:\frac{\sin^4(x)-\cos^4(x)}{\sin^2(x)-\cos^2(x)}, simplify\:\frac{\sec(x)\sin^2(x)}{1+\sec(x)}, \sin (x)+\sin (\frac{x}{2})=0,\:0\le \:x\le \:2\pi, 3\tan ^3(A)-\tan (A)=0,\:A\in \:\left[0,\:360\right], prove\:\tan^2(x)-\sin^2(x)=\tan^2(x)\sin^2(x), prove\:\cot(2x)=\frac{1-\tan^2(x)}{2\tan(x)}. It shows you the solution, graph, detailed steps and explanations for each problem. sin240 = 3 2. . 270 does not lie on any quadrant, it lies on the y-axis separating the third and fourth quadrants. Message received. Symbolab is the best step by step calculator for a wide range of physics problems, including mechanics, electricity and magnetism, and thermodynamics. The initial side of an angle will be the point from where the measurement of an angle starts. Add this calculator to your site and lets users to perform easy calculations. Therefore, incorporating the results to the general formula: Therefore, the positive coterminal angles (less than 360) of, $$\alpha = 550 \, \beta = -225\, \gamma = 1105\ is\ 190\, 135\, and\ 25\, respectively.$$. Coterminal angle of 120120\degree120 (2/32\pi/ 32/3): 480480\degree480, 840840\degree840, 240-240\degree240, 600-600\degree600. Using the Pythagorean Theorem calculate the missing side the hypotenuse. The cosecant calculator is here to help you whenever you're looking for the value of the cosecant function for a given angle. 30 is the least positive coterminal angle of 750. We must draw a right triangle. Terminal side of an angle - trigonometry In trigonometry an angle is usually drawn in what is called the "standard position" as shown above. Although their values are different, the coterminal angles occupy the standard position. To find the coterminal angle of an angle, we just add or subtract multiples of 360. First, write down the value that was given in the problem. Coterminal angles formula. Welcome to the unit circle calculator . Any angle has a reference angle between 0 and 90, which is the angle between the terminal side and the x-axis. Next, we need to divide the result by 90. Whereas The terminal side of an angle will be the point from where the measurement of an angle finishes. Notice the word values there. There are many other useful tools when dealing with trigonometry problems. If your angles are expressed in radians instead of degrees, then you look for multiples of 2, i.e., the formula is - = 2 k for some integer k. How to find coterminal angles? Question 1: Find the quadrant of an angle of 252? Lets say we want to draw an angle thats 144 on our plane. This is useful for common angles like 45 and 60 that we will encounter over and over again. segments) into correspondence with the other, the line (or line segment) towards How to find a coterminal angle between 0 and 360 (or 0 and 2)? We want to find a coterminal angle with a measure of \theta such that 0<3600\degree \leq \theta < 360\degree0<360, for a given angle equal to: First, divide one number by the other, rounding down (we calculate the floor function): 420/360=1\left\lfloor420\degree/360\degree\right\rfloor = 1420/360=1. A triangle with three acute angles and . If you're wondering what the coterminal angle of some angle is, don't hesitate to use our tool it's here to help you! This entry contributed by Christopher Underneath the calculator, the six most popular trig functions will appear - three basic ones: sine, cosine, and tangent, and their reciprocals: cosecant, secant, and cotangent. Coterminal angle of 285285\degree285: 645645\degree645, 10051005\degree1005, 75-75\degree75, 435-435\degree435. Or we can calculate it by simply adding it to 360. ----------- Notice:: The terminal point is in QII where x is negative and y is positive. Imagine a coordinate plane. So if \beta and \alpha are coterminal, then their sines, cosines and tangents are all equal. Therefore, we do not need to use the coterminal angles formula to calculate the coterminal angles. Are you searching for the missing side or angle in a right triangle using trigonometry? Coterminal angles are the angles that have the same initial side and share the terminal sides. Coterminal angle of 2525\degree25: 385385\degree385, 745745\degree745, 335-335\degree335, 695-695\degree695. To find the coterminal angles to your given angle, you need to add or subtract a multiple of 360 (or 2 if you're working in radians). After full rotation anticlockwise, 45 reaches its terminal side again at 405. We can conclude that "two angles are said to be coterminal if the difference between the angles is a multiple of 360 (or 2, if the angle is in terms of radians)". It shows you the steps and explanations for each problem, so you can learn as you go. We draw a ray from the origin, which is the center of the plane, to that point. As a measure of rotation, an angle is the angle of rotation of a ray about its origin. What is the primary angle coterminal with the angle of -743? Let us find the coterminal angle of 495. This online calculator finds the reference angle and the quadrant of a trigonometric a angle in standard position. The trigonometric functions of the popular angles. Since its terminal side is also located in the first quadrant, it has a standard position in the first quadrant. This second angle is the reference angle. We rotate counterclockwise, which starts by moving up. Coterminal angles can be used to represent infinite angles in standard positions with the same terminal side. Well, our tool is versatile, but that's on you :). Example 2: Determine whether /6 and 25/6 are coterminal. We can determine the coterminal angle by subtracting 360 from the given angle of 495. side of an origin is on the positive x-axis. Question: The terminal side of angle intersects the unit circle in the first quadrant at x=2317. Coterminal angle of 315315\degree315 (7/47\pi / 47/4): 675675\degree675, 10351035\degree1035, 45-45\degree45, 405-405\degree405. Use our titration calculator to determine the molarity of your solution. Let us list several of them: Two angles, and , are coterminal if their difference is a multiple of 360. These angles occupy the standard position, though their values are different. An angle is a measure of the rotation of a ray about its initial point. . Sine, cosine, and tangent are not the only functions you can construct on the unit circle. From MathWorld--A Wolfram Web Resource, created by Eric Coterminal angle of 195195\degree195: 555555\degree555, 915915\degree915, 165-165\degree165, 525-525\degree525. Use our titration calculator to determine the molarity of your solution. 360, if the value is still greater than 360 then continue till you get the value below 360. a) -40 b) -1500 c) 450. Find the ordered pair for 240 and use it to find the value of sin240 . Terminal side is in the third quadrant. Example for Finding Coterminal Angles and Classifying by Quadrant, Example For Finding Coterminal Angles For Smallest Positive Measure, Example For Finding All Coterminal Angles With 120, Example For Determining Two Coterminal Angles and Plotting For -90, Coterminal Angle Theorem and Reference Angle Theorem, Example For Finding Measures of Coterminal Angles, Example For Finding Coterminal Angles and Reference Angles, Example For Finding Coterminal Primary Angles.
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