Use a Double- or Half-Angle Formula to solve the equation in the interval [0, 2𝜋). (Enter your answers as a comma-separated list.) 2 cos2(𝜃) = 2 − cos(2𝜃)

Answer 1

2cos^2(T) = 2- cos2T = 2 - (cos^2(T)-sin^2(T)) = 2- cos^2(T) +(1-cos^2(T))

2cos^2(T) = 2 -2cos^2(T)+1

4cos^2(T) = 3

cos^2(T) = 3/4

cosT = sqr3/2

Theta = pi/6, 11pi/6 or 30, 330 degrees