Trigonometric Identities Question 223

Question: $ 1-2{{\sin }^{2}}( \frac{\pi }{4}+\theta )= $

Options:

A) $ \cos 2\theta $

B) $ -\cos 2\theta $

C) $ \sin 2\theta $

D) $ -\sin 2\theta $

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Answer:

Correct Answer: D

Solution:

$ 1-2{{\sin }^{2}}( \frac{\pi }{4}+\theta )=\cos ( \frac{\pi }{2}+2\theta )=-\sin 2\theta $ .