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Question

Question: \[1 - 2\sin^{2}\left( \frac{\pi}{4} + \theta \right) =\]...

12sin2(π4+θ)=1 - 2\sin^{2}\left( \frac{\pi}{4} + \theta \right) =

A

cos2θ\cos 2\theta

B

cos2θ- \cos 2\theta

C

sin2θ\sin 2\theta

D

sin2θ- \sin 2\theta

Answer

sin2θ- \sin 2\theta

Explanation

Solution

12sin2(π4+θ)=cos(π2+2θ)=sin2θ1 - 2\sin^{2}\left( \frac{\pi}{4} + \theta \right) = \cos\left( \frac{\pi}{2} + 2\theta \right) = - \sin 2\theta.