Question

If sinθ = 7/25 and tanθ = 7/24, find cosθ.

Answer 1

Explanation:

`sin \theta=(7)/(25)\\ tan \theta=(7)/(24)\\ (sin ~\theta)/(cos~\theta)=(7)/(24) \\cos~\theta=(24)/(7) *~sin~\theta=(24)/(7) * (7)/(25) =(24)/(25)`

Answer 2

cos θ= 24/25

Explanation:

Draw a triangle to help.

We know the hypotenuse is 25 since sin is opposite/hypotenuse.

We know the side opposite to theater is 7 and the side adjacent to theater is 24, since tan is opposite/adjacent.