Question

How do you find the coterminal angles in the triangles?

Answer 1

Hint: in order to find the coterminal angles in a given triangle we have to either add or subtract \[{{360}^{\circ }}\] to the given angles of the triangles. It depends which value we have to add or subtract from the given angle. It is given in degrees then \[{{360}^{\circ }}\] will be either subtracted or added and if the angle is in radians then we will use \[2\pi \].

Complete step by step answer:
The above question belongs to the concept of trigonometry. Here we have to find the coterminal angles for a triangle. These are the angles that are in standard position, which means angles that are on the initial side of the positive x-axis. In general, from the word itself we can see that coterminal means having the same initial point. These angles have their terminal sides in the same location. On a graph, if we see, it looks like the angles are the same but in actuality, they differ by revolutions.
The simple method to find the coterminal angles is to add or subtract \[{{360}^{\circ }}\] or \[2\pi \] depending upon the unit in which the angles of the triangle are given.
Let us take an example.
If we have a triangle ABC, with angles values \[\angle A,\angle B,\angle C\]
Then the value of coterminal angles will be \[\angle A-360,\text{ }\angle B-360,\text{ }\angle C-360\].

Note:
we can find an infinite number of coterminal angles, therefore in this case also we can find an infinite number of coterminal angles for the given triangle. Before finding the coterminal angles, check whether the angles are in degree or in radian. For trigonometric functions, the value of coterminal angles is always the same.