Question

Given sin A=-√3/2 and tan A >0, find cos A.

PLEASE HURRY AND SHOW WORK

Answer 1

Below in bold.

Explanation:

We have a right triangle here with the hypotenuse = 2 and the legs are 1 and √3.

If tan A > 0 then the opposite side to < A in the triangle is greater than the adjacent so the leg opposite angle A is √3 and the adjacent side = 1.

So cos A = adj/hyp = 1/2.