Question

Given sin 0 = 4/5

use the Pythagorean Theorem to find the value of cos 0.
A) cos 0 = 3/4

B) cos 0 = 3/5

C) cos 0 = 4/3

D) cos 0 = 4/5

Answer 1

cosθ = 3/5

Step-by-step explanation:

Given that,

sinθ = 4/5

We need to find the value of cosθ.

We know that,

sinθ = P/H

Where

P is perpendicular and H is Hypotenuse

Using Pythagoras theorem to find base (b).

H²=P²+B², b is base

We have, H = 5, P = 4, B=?

b²=5²-4²

b=3

We know that, cosθ = B/H

Putting all the values,

cosθ = 3/5

Hence, the correct option is (b) "cosθ = 3/5".