Solving Trig Equations

Question

Solve sin(2Θ)=-1/2 for all solutions of Θ in the interval [0,2Π). 

 

Enter exact radians in a list separated by commas. Simplify fractions.
The answers are_____________. 

Answer 1

sin2T = -1/2

2T is in the 3rd or 4th quadrant where sines are negative

reference angle is 30 degrees = pi/6 radians

2T = 11pi/6 or 7pi/6

T = 11pi/12 or 7pi/12

7pi/12, 11pi/12