Question

Please please help!

The Pythagorean Identity states that:
(sin x)2 + (cos x)2 = 1
Given cos 0 = 15 / 8, find sin 0
sin 0 = [ ? ]
Simplify the fraction.

Answer 1

Answer: 7/8

Explanation:

Answer 2

sin θ =
`(7)/(8)`

Explanation:

Substitute cos θ =
`(√(15) )/(8)` into the Pythagorean identity

(sin θ )² + (
`(√(15) )/(8)` )² = 1

(sin θ )² +
`(15)/(64)` = 1

(sin θ )² = 1 -
`(15)/(64)` =
`(49)/(64)` ( take the square root of both sides )

sin θ =
`\sqrt{(49)/(64) }` =
`(7)/(8)`