Question

How do you use fundamental identities to find the values of the trigonometric values given tan theta = -12/5 and cos theta> 0?

Answer 1

Find values of trig functions

Explanation:

Consider the right triangle OAB with
OA = 5, and AB = - 12
Hypotenuse `OB = sqrt(25 + 144 = 169) = 13`
Call t the angle < AOB:
`cos t = 5/13 --> sec t = 13/5`
`sin t = -12/13 --> csc t = -13/12`
t`an t = -12/5 --> cot t = - 5/12`