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 $
Show Answer
Answer:
Correct Answer: D
Solution:
$ 1-2{{\sin }^{2}}( \frac{\pi }{4}+\theta )=\cos ( \frac{\pi }{2}+2\theta )=-\sin 2\theta $ .