Question

please help!
The Pythagorean Identity states that:
(sin x)2 + (cos x)2 = 1
Given sin 0 = 5/6, find cos 0.
cos 0 =
Simplify the fraction.

Answer 1

Answer:

cos θ = $\frac{\sqrt{11} }{6}$

Step-by-step explanation:

Substitute sin θ = $\frac{5}{6}$ into the identity

( $\frac{5}{6}$ )² + (cos θ )² = 1

$\frac{25}{36}$ + (cos θ )² = 1

(cos θ )² = 1 - $\frac{25}{36}$ = $\frac{11}{36}$ ( take the square root of both sides )

cos θ = $\sqrt{\frac{11}{36} }$ = $\frac{\sqrt{11} }{6}$