Precalculus Trigonometry Question

Question

The quadrant of angle θ and the value of cos θ are given below. Find the values of the other two primary trigonometric ratios.

cosθ=-3/5 pi/2less than or equal to θ less than or equal to pi

Cosθ=

Tanθ=

Answer 1

so we're in quadrant 2 where cosine is negative and sine is positive...

since the cosine is -3/5, the terminal point must then be (-3,5)

which forces the opposite side to be 4

the sine is then 4/5 and the tangent is -4/3