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:

sin θ = $\frac{7}{8}$

Step-by-step explanation:

Substitute cos θ = $\frac{\sqrt{15} }{8}$ into the Pythagorean identity

(sin θ )² + ( $\frac{\sqrt{15} }{8}$ )² = 1

(sin θ )² + $\frac{15}{64}$ = 1

(sin θ )² = 1 - $\frac{15}{64}$ = $\frac{49}{64}$ ( take the square root of both sides )

sin θ = $\sqrt{\frac{49}{64} }$ = $\frac{7}{8}$