Question

Solve the equation on the interval 0 12 years ago

Answer 1

well find the inverse value

\[2x = \sin^{-1}(\frac{1}{2})\]

then solve for x

and given the domain, you'll need to identify angles in the 1st and 2nd quadrants

Answer 2

sin 2x = 1/2
The trig conversion table gives sin Pi/6 = 1/2 and sin 5Pi/6 = 1/2
Two answers:
a) sin 2x = sin Pi/6 -> 2x = Pi/6 -> x = Pi/12
b) sin 2x = sin 5Pi/6 -> 2x = 5Pi/6 --> x = 5Pi/12