Question

Please please help!

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