Thread: How to solve the values of trigonometric functions?

Okay, I will write the exact question from the book. Suppose that cot 0(angle measure)
5/12 where 0 is an acute angle in a right triangle. Determine the values of all the trigonometric functions of 0 exactly.

Examples of trig functions are:
sine 0= opposite/hypotenuse
Tan 0= opposite/adjacent
Cos 0= adjacent/hypotenuse


I need some help.
Ask more questions if you need clarity on this problem.

You probably know that the cotangent of an angle is the reciprocal of the tangent of the same angle.
So you already know that the tangent of this angle is 12/5. This is the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle. You can go ahead and draw a right triangle with opposite side of length 12 and adjacent side of length 5, since all right triangles with that ratio of lengths will have the same trigonometric properties.
From the Pythagorean theorem, you can find the length of the hypotenuse, which allows you to find the sine and cosine of this angle.