Question

PLS HELP WILL MARK BRAINLIEST + 10 POINTS!!!!!
Find the exact real value of arcsin ($\frac{ \sqrt{3} }{2}$).

A)$\frac{4 \pi }{3}$
B)$\pi$
C)$\frac{ \pi }{6}$
D)$\frac{ \pi }{3}$

Answer 1

Let sin⁻¹($\frac{ \sqrt{3} }{2}$) = x
Therefore, sin(x) = $\frac{ \sqrt{3} }{2}$
x should lie in first quadrant because √3 and 2 both are positive.

Therefore, sin(x) = 60° = π/3