Question

How do you find the values of the other trigonometric functions of θ from the information given `cos θ = − 5/8` , `tan θ < 0`?

Answer 1

cos x = -5/8. Find other trig functions.

Explanation:

`sin^2 x = 1 - cos^2 x = 1 - 25/64 = 39/64 = 0.61 -> sin x = 0.78`

`tan x = sin x/cos x = 0.78/-0.625 = -1.25`

`cot x = 1/-1.25 = - 0.80`

`sec x = 1/cos x = -8/5 = - 1.60`

`csc x = 1/ sin x = 1/0.78 = 1.28`