Question: find the negative coterminal angle of 380 degrees - Chegg Converting between degrees and radians can make working with angles easier in some applications. In this problem we must determine a negative angle coterminal to a given angle, two angles are coterminal when both have the same direction.Given that a complete revolution is done each 360, we can derive an . In this case, to find the negative coterminal angle, subtract 360 from 30. As we know,Positive coterminal angles of /2 in radian = /2 + 2= 5 /2Similarly,Negative coterminal angles of /2 in radian = /2 2= -3 /2. To keep things more interesting, your coach has decided to have you and your teammates run the opposite of the usual direction on the track. Two or more angles are called coterminal angles if they are in standard position having their initial side on the positive x-axis and a common terminal side. (a) -520, 200(b) 417, -303(c) 600, 40As we know,The measurements of coterminal angles differ by an integer multiple of 360(a) 520 200 = 720 = 2(360), which is a multiple of 360Hence, 520 and 200 are coterminal angles(b) 417 (303) = 720 = 2(360), which is a multiple of 360Hence, 417and -303 are coterminal angles(c) 600 (40) = 560, which is not a multiple of 360Hence, 600 and 40 are not coterminal angles. Coterminal and Reference Angles - Expii Answers may vary. The procedure to use the coterminal angle calculator is as follows: Step 1: Enter the angle in the input field, Step 2: Now click the button Calculate Coterminal Angle to get the output, Step 3: Finally, the positive and negative coterminal angles will be displayed in the output field. Find an angle between -500 and +500 and that is coterminal with = 75. Therefore the ordered pair of points is \((-1, 0)\). Answers may vary. This theorem states that the measures of any two coterminal angles differ by an integer multiple of 360. Shop the Brian McLogan. Your Mobile number and Email id will not be published. A. Adding one revolution would be considered the smallest positive coterminal angle. Here are 2 formulas: Given x as the angle you want to find coterminal angles to: The smallest nonnegative angle would be: (x-360floor (x/360)) And the largest nonpositive angle would be: (x-360ceil (x/360)) floor (x) is the floor function, that returns the greatest integer less than or equal to x, for instance: wikiHow, Inc. is the copyright holder of this image under U.S. and international copyright laws. Coterminal Angles - Varsity Tutors Coterminal angles are equal angles. If two angles are drawn, they are coterminal if both their terminal sides are in the same place - that is, they lie on top of each other. Find the measure of two other angles, one positive and one negative, that are coterminal with the given angle and closer to the given angle than any other coterminal angle. Analytical cookies are used to understand how visitors interact with the website. Is it easy to get an internship at Microsoft? iPad. 11) 185 , 545 12) 17 36, 161 36 Find a coterminal angle between 0 and 360. 1. asked by sara August 17, 2011 1 answer -417 + 360 = -57 doing another rotation would bring you into the positives answered by Reiny August 17, 2011 Answer this Question Still need help? Find a positive and a negative coterminal angle of /2. Therefore the ordered pair is (0, -1) and the cosine value is 0. in English, focusing on Creative Writing and Linguistics. This results in the solution, pi. Learn the basics of co-terminal angles. The angle measuring 430 degrees is actually 360 + 70 (one full revolution plus the original 70). Oh no! wikiHow, Inc. is the copyright holder of this image under U.S. and international copyright laws. Online Coterminal Angles Calculator - Cuemath 110 3. (Trig) how do you find largest negative coterminal angle and smallest Performance cookies are used to understand and analyze the key performance indexes of the website which helps in delivering a better user experience for the visitors. For other applications, we may need another type of conversion. To use the coterminal angle calculator, follow these steps: Step 1: Enter the angle in the input box. Therefore the ordered pair is \(\left(\dfrac{\sqrt{2}}{2},\dfrac{\sqrt{2}}{2}\right)\) and the sine value is \(\dfrac{\sqrt{2}}{2}\).

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