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 theta = 4 sin theta + 1 = 0 theta =

Solution

4sin²theta -4sin theta +1=0

(2sin theta -1)²=0

sin theta=1/2

theta=sin^-1(1/2)

theta=2pi k + pi/6, 2pi k +5pi/6