Question

Given cos x = -3/4 and sin x is negative, what are the values of the remaining trigonometric functions?

Answer 1

Find values of trig functions

Explanation:

Use the trig identity: `sin^2 x + cos^2 x = 1`
`cos x = -3/4` --> `sin^2x = 1 - (9/16) = 7/16` ---> `sin x = - (sqrt7)/4`
`tan x = sin x/(cos x) = - (sqrt7)/3`
`cot x = - 3/sqrt7 = - (3sqrt7)/7`
`sec x = 1/(cos x) = -4/3`
`csc x = 1/(sin x) = -4/sqrt7 = - (4sqrt7)/7`