Find all solutions of the given trigonometric equation if th

Find all solutions of the given trigonometric equation if theta is an angle measured in degrees. (Let n represent an arbitrary integer. Enter your answers as a comma-separated list.) 2 sin(3 theta) = squareroot 2

Solution

2 sin(3 theta)=sqrt2

sin 3 theta=sqrt(2)/2

3 theta=sin^-1(sqrt(2)/2)

3theta= 2pi n + pi/4   , 2pi n + 3pi/4

theta= 2pi n/3 + pi/12 , 2pi n + pi/4