Solve the equation on the interval lessthanorequalto theta

Solve the equation on the interval - lessthanorequalto theta

2 cos^2 theta - sqrt3 cos theta=0

Taking cos theta out from both of the terms

cos theta(2 cos theta - sqrt3)=0

cos theta=0 and 2 cos theta - sqrt 3=0

cos theta= 0 and cos theta = sqrt 3/2

taking inverse on both sides

cos ^-1 cos theta = cos^-1(0) and cos^-1 cos theta= cos^-1 sqrt 3/2

theta= pi/2, 3pi/2 and theta= pi/6 and 11pi/6

solution set= (pi/6,pi/2 , 3pi/2,11pi/6)