Find a positive coterminal angle smaller than 2 π to anglesa) Ac = 7 π / 6 , b) Bc = 7 π / 4, Find Coterminal Angles - Trigonometry Calculator, Trigonometry Angle Questions With Answers, Find the Quadrant of an Angle - Trigonometry Calculator, Find Reference Angle and Quadrant - Trigonometry Calculator, Step by Step Solver to Find Coterminal Angle to a Given Angle, Step by Step Solver to Find the Reference Angle to a Given Angle. So, to check whether the angles α and β are coterminal, check if they agree with a coterminal angles formula: β = α ± 360 * k, where k is a positive integer, β = α ± 2π * k, where k is a positive integer. So, as we said: all the coterminal angles start at the same side (initial side) and share the terminal side. Please submit your feedback or enquiries via our Feedback page. 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] (or [0, π/2]). Formula: Positive Angle1 = Angle + 360. Write the 360⋅n numbersthat seems to cover -520on a number line:0, -360, -720, -1080.

b) Example: A negative coterminal angle Ac may be given byAc = -200° - 360° = -560°, Example 2: Find a coterminal angle Ac to angle A = - 17 π / 3 such that Ac is greater than or equal to 0 and smaller than 2 π, eval(ez_write_tag([[580,400],'analyzemath_com-box-4','ezslot_7',261,'0','0']));Solution to example 2:A positive coterminal angle to angle A may be obtained by adding 2 π, 2(2 π) = 4 π (or any other positive angle multiple of 2 π). Try the free Mathway calculator and Any time you want to find an angle that is coterminal to another angle, subtract or add 360°. A positive coterminal angle Ac may be given byAc = - 17 π / 3 + 2 π = -11 π / 3As you can see adding 2*π is not enough to obtain a positive coterminal angle and we need to add a larger angle but what is the size of the angle to add?. problem and check your answer with the step-by-step explanations. Then just add or subtract 360°, 720°, 1080°... (2π,4π,6π...), to obtain positive or negative coterminal angles to your given angle. So, 10° and 370° are coterminal, b) –520° – 200° = –720° = –2(360°), which is a multiple of 360° other positive coterminal angles are 680°, 1040°... other negative coterminal angles are -40°, -400°, -760°... Also, you can simply add and subtract a number of revolutions, if all you need is any positive and negative coterminal angle. But before fully focusing on coterminal angles though, it helps to learn about the initial side and terminal side of an angle first. So 420º, 780º, and -300ºare the coterminal angles. The angle above is measured starting from the blue line on the x-axis that is the initial side, and ending at the green line that is the terminal side.

Then 17π/4.So 17π/4 is the second coterminal angle. So, –520 and 200° are coterminal. Then the number on the left side of 13π/2, 12π/2,is the 2π⋅n number.And the number between 12π/2 and 13π/2is the coterminal angle θ.This means12π/2 + θ = 13π/2. Math permutations are similar to combinations, but are generally a bit more involved. start at the same line/side as each another, and finish at the same line/side as each other. c) We welcome your feedback, comments and questions about this site or page. A positive coterminal angle to angle A may be obtained by adding 360°, 2(360)° = 720° (or any other positive angle multiple of 360°). Formula: Positive Angle1 = Angle + 360 Positive Angle2 = Angle + 720 Negative Angle1 = Angle - 360 Negative Angle2 = Angle - 720 Related Calculator: and the terminal side is the ending side. –520°, 200° A positive coterminal angle to angle A may be obtained by adding 360°, 2 (360)° = 720° (or any other positive angle multiple of 360°). π 3 + 2 π = 7 π 3 π 3 − 2 π = − 5 π 3. Then 9π/4.So 9π/4 is the first coterminal angle.

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