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 tan sin 3 tan = 0

Solution

4 tan theta sin theta - 3 tan theta = 0

taking tan theta as gcf

tan theta ( 4 sin theta - 3 ) = 0

applying zero product property

tan theta =0 , theta = 0,pi. 2pi

4 sin theta - 3 = 0

sin theta = 3/4 , theta = pi - .848 , .848

solutions are

theta = 2pi , 0 , pi , .848 , pi -.848