\u00a9 2023 wikiHow, Inc. All rights reserved. The LibreTexts libraries arePowered by NICE CXone Expertand are supported by the Department of Education Open Textbook Pilot Project, the UC Davis Office of the Provost, the UC Davis Library, the California State University Affordable Learning Solutions Program, and Merlot. So, a positive coterminal angle is $3\pi$ and a negative coterminal angle is $-\pi$. Tap for more steps. wikiHow, Inc. is the copyright holder of this image under U.S. and international copyright laws. Also both have their terminal sides in the same location. Find the least positive and the greatest negative coterminal angles of the following angle measures. This image is not<\/b> licensed under the Creative Commons license applied to text content and some other images posted to the wikiHow website. Find the Reference Angle 450 degrees | Mathway References. This website uses cookies to improve your experience while you navigate through the website. The formula can be written as 360, where is your original angle. Given an angle greater than [latex]2\pi [/latex], find a coterminal angle between 0 and [latex]2\pi [/latex]. The angle of 220 is a negative angle, measured clockwise. Who are the experts? c. Another angle that is coterminal with 45 is 45 + 360 = 405. It also shows you how to convert radians to degrees and degrees to radians. While practicing for the track team, you regularly stop to consider the values of trig functions for the angle you've covered as you run around the circular track at your school. But both angles have the same terminal side. 2.3.8: Trigonometric Functions of Negative Angles The resulting angle of 240 240 is positive and coterminal with 120 120 . You also have the option to opt-out of these cookies. What are the physical state of oxygen at room temperature? -25 2. Trigonometry. These are called dihedral angles.Two intersecting curves may also define an angle, which is the angle of the rays . The sine is the "\(y\)" coordinte, so here it is -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? Degrees = n360 Positive Coterminal Angles 50 + 360 = 410 50 + (2 360) = 770 50 + (3 360) = 1130 To find a coterminal of an angle, add or subtract 360 360 degrees (or 2 2 for radians) to the given angle. How to find the greatest negative coterminal angle To find the coterminal angle, just add or subtract 360 or 2 from the angle. Here 405 is the positive coterminal angle, -315 is the negative coterminal angle. What happens to atoms during chemical reaction? Find the value of the expression: \(\tan 270^{\circ}\). How to find greatest negative coterminal angle - Math Theorems {"smallUrl":"https:\/\/www.wikihow.com\/images\/thumb\/6\/61\/Find-Coterminal-Angles-Step-1.jpg\/v4-460px-Find-Coterminal-Angles-Step-1.jpg","bigUrl":"\/images\/thumb\/6\/61\/Find-Coterminal-Angles-Step-1.jpg\/v4-728px-Find-Coterminal-Angles-Step-1.jpg","smallWidth":460,"smallHeight":345,"bigWidth":728,"bigHeight":546,"licensing":"