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

cos θ =
`(√(11) )/(6)`

Explanation:

Substitute sin θ =
`(5)/(6)` into the identity

(
`(5)/(6)` )² + (cos θ )² = 1

`(25)/(36)` + (cos θ )² = 1

(cos θ )² = 1 -
`(25)/(36)` =
`(11)/(36)` ( take the square root of both sides )

cos θ =
`\sqrt{(11)/(36) }` =
`(√(11) )/(6)`