Question

The Pythagorean Identity states that:

(sin x)2 + (cos x)2 = 1
Given sin 0 = 73, find cos 0.
27
cos 6 = 2
Simplify the fraction.

Answer 1

1/2

Explanation:

According to pythagoras theorem;

(sinx)²+(cosx)² = 1

Given that sinФ = √3/2

Substitute into the formula

(√3/2)²+(cosx)² = 1

3/4+(cosx)² = 1

(cosx)² = 1 - 3/4

(cosx)² = 1/4

cos x = √1/4

cos x = 1/2

Hence the value of cosФ is 1/2