Solve the equation for solutions over the interval 0 degree

Solve the equation for solutions over the interval [0 degree, 360 degree). 3 sin^2 theta tan theta tan theta + 3 sin^2 theta = 0 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is {}. (Type your answer in degrees. Do not include the degree symbol in your answer. Round to one decimal place as needed. Use a comma to separate answers as needed.) B. The solution is the empty set.

Solution

3sin^2theta*tantheta + 3sin^2theta =0

3sin^2theta(tantheta +1) =0

sintheta =0 ; theta = 0 , 180 deg

theta = -1 ; theta = 135 deg , 315 deg

theta = 0 , 135 , 180 , 315 deg