Repeat the step. Negative Coterminal Angle = Angle -360eval(ez_write_tag([[300,250],'calculator_academy-medrectangle-4','ezslot_9',107,'0','0']));eval(ez_write_tag([[300,250],'calculator_academy-medrectangle-4','ezslot_10',107,'0','1']));eval(ez_write_tag([[300,250],'calculator_academy-medrectangle-4','ezslot_11',107,'0','2'])); The formulas above would only yield one of each co terminal angles. Simplify the result. To find the least negative angle coterminal with another angle, say 78 pi, the calculation process is shown below will work. Varsity Tutors © 2007 - 2020 All Rights Reserved, CDR Exam - Cardiovascular Disease Recertification Exam Test Prep, AFOQT - Air Force Officer Qualifying Test Test Prep, SAT Subject Test in Japanese with Listening Courses & Classes, CCNA Industrial - Cisco Certified Network Associate-Industrial Test Prep, ASE - National Institute for Automotive Service Excellence Training, CAPM - Certified Associate in Project Management Training, SE Exam - Professional Licensed Engineer Structural Engineering Exam Courses & Classes. π 2 Combine fractions. Varsity Tutors does not have affiliation with universities mentioned on its website. The resulting angle of is positive and coterminal with . In the figure above, rotate A around counterclockwise *See complete details for Better Score Guarantee. to find coterminal angles, add or subtract 2pi as many times as you want. Once this number is found, it must again get subtracted from the given angle 526 degrees. For example, one revolution for our exemplary α is not enough to have both a positive and negative coterminal angle - we'll get two positive ones, 1040° and 1760°. Find an angle that is positive, less than , and coterminal with . Combine fractions. Favorite Answer. Relevance. Since the angle is in the third quadrant, subtract from . . Tap for more steps... Add to . ° Find an angle that is positive, less than , and coterminal with . For example 45°, 405° and -315° are coterminal angles because all three angles have the same initial side (the x axis) and they share a same terminal side. To find the coterminal angles to your given angle, you need to add or subtract a multiple of 360° (or 2π if you're working in radians). Combine fractions. Since the coordinate circle has as a total rotation of 360 degrees, adding or subtracting that to the angle yields a result as does the coterminal angle calculator above. Otherwise, ° Let’s assume you are given an angle in radians. How to Use the Coterminal Angle Calculator? Here 405 is the positive coterminal angle, -315 is the negative coterminal angle. Tap for more steps... Subtract from . -axis) that have a common terminal side. If the result is the same for both angles, they are coterminal. You can see that a negative angle can be coterminal with a positive one. Check out 39 similar 2d geometry calculators , What is a coterminal angle? The resulting angle of is positive, less than , and coterminal with . The resulting angle of is positive and coterminal with . How to find a coterminal angle between 0 and 360° (or 0 and 2π)? π 4.9/5.0 Satisfaction Rating over the last 100,000 sessions. °. 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