Enter all solutions, in degrees, that lie in the interval [0∘,360∘). Do not enter the degree sign. If there are more than one angle, separate them by a comma. cosγ+1=2sin2γ γ =

Answer 1

cosy + 1 = 2sin²y

cosy + 1 = 2(1 - cos²y)

2cos²y + cosy - 1 = 0

(2cosy - 1)(cosy + 1) = 0

cosy = 1/2 or cosy = -1

cosy = 1/2 when y = 60ˆ or 300°

cosy = -1 when y = 180°

Solution set: {60°, 180°, 300°}