Solve the given equation Enter your answers as a commasepara

Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to three decimal places where appropriate. If there is no solution, enter No SOLUTION.) 3 sin (2 theta) - 5 sin(theta) = 0 theta =

Solution

3 sin 2 theta -5 sin theta=0

6sin theta cos theta-5 sin theta=0

sin theta(6 cos theta -5)=0

sin theta=0, cos theta=5/6

x=pi k ,2pi k - 2 tan^-1(1/sqrt11) , 2pi k +2 tan^-1(1/sqrt11)