1 sin theta 2cos2 theta Show steps please Solve the equatio

Solution

1 + sin theta= 2cos^2 theta

cos^2 theta= 1-sin^2 theta

1+sin theta= 2(1-sin^2 theta)

1+sin theta= 2(1-sin theta)(1+sin theta)

1/2= 1- sin theta

sin theta= 1/2

theta= sin^-1(1/2)= pi/6