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.)

4 sin 2 5 sin = 0

Solution

4sin2theta -5sin theta=0

8sin theta cos theta -5sin theta=0

sin theta(8cos theta -5)=0

sintheta=0     or 8cos theta -5=0

theta= pi k      or theta=cos^-1(5/8)

theta=pi*k       or theta=2pi k -51.318degree,2pi*k+51.318degree