Simplify your answer Type an exact answer using pi as needed

(Simplify your answer. Type an exact? answer, using

pi?

as needed. Type your answer in radians. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as? needed.)

Solution

cos 2theta=-sqrt3/2

2theta=cos^-1(-sqrt3/2)

2theta= 5pi/6, 7pi/6, 17pi/6, 19pi/6

theta=5pi/12, 7pi/12, 17pi/12, 19pi/12