So, coterminal angles are the angles that have the same terminal side. The angle on a coordinate is formed by the x-axis and the terminal side. Finding coterminal angles is as simple as adding or subtracting 360 ° or 2π to each angle, depending on whether the given angle is in degrees or radians . 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. Example : For each given angle, find a coterminal angle with measure of θ such that 0 ° ≤ θ < 360 °. Remember the -315° from going backwards? This angle θ and below angles are coterminal angles because they have the same terminal side. Reference angle is the smallest angle that you can make from the terminal side of an angle with the \(x\)-axis. In order to find a positive and a negative angle coterminal with , we need to subtract one full rotation and two full rotations (): So a angle and a angle are coterminal with a angle. Equation for calculate coterminal angles is,. To find a coterminal of an angle, add or subtract \(360\) degrees (or \(2π\) for radians) to the given angle. 2π/ 3. Recall that when an angle is drawn in the standard position as above, only the terminal sides (BA, BD) varies, since the initial side (BC) remains fixed along the positive x-axis. Coterminal Angles Worksheet - Problems. The angle on a coordinate is formed by the x-axis and the terminal side.. For example, the coterminal angle of 45 is 405 and -315. So, coterminal angles are the angles that have the same terminal side. Angles 57 °, 417 ° and -303 ° have the same initial side and terminal side but with different amount of rotations, such angles are called coterminal angles. 75 ° Problem 2 : Find the positive angle and negative that are coterminal with the angle given below. In Mathematics, the coterminal angle is defined as an angle, where two angles are drawn in the standard position. We can say that 45° and 405° are coterminal. There are an infinite number of coterminal angles that can be found. Reference and Coterminal Angles ... /reference.gif Quadrant 1= Actual Quadrant 2= 180-angle Quadrant 3= Angle-180 Quadrant 4= 360-angle Reference Angle Formulas Q: If the angle measure is 50 degrees in standard position, find one coterminal angle. In the figure above, drag A or D until this happens. Coterminal angles are equal angles. What is Meant by Coterminal Angle? Positive Angle (360) = Angle + 360 Positive Angle (720) = Angle + 720 Negative Angle (360) = Angle - 360 Also both have their terminal sides in the same location. Problem 1 : Find the positive angle and negative that are coterminal with the angle given below. Definition. But we can also do more! Coterminal Angles Formula. How to find the coterminal angle of the given angle: definition, formula, 5 examples, and their solutions. A positive coterminal angle to angle A may be obtained by adding 360°, 2(360)° = 720° (or any other positive angle multiple of 360°). Thus, 45°,-315°,and 405° are all coterminals! That angle also shares the same initial and terminal sides. There is an infinite number of possible answers to the above question since k in the formula for coterminal angles is any positive or negative integer. Coterminal Angles Coterminal Angles are angles who share the same initial side and terminal sides. Coterminals can be negative as well. Here 405 is the positive coterminal angle, -315 is the negative coterminal angle. Coterminal angles are angles in standard position that have a common terminal side.