Trigonometric Identities Question 293
Question: $ \sin 4\theta $ can be written as
Options:
A) $ 4\sin \theta (1-2{{\sin }^{2}}\theta )\sqrt{1-{{\sin }^{2}}\theta } $
B) $ 2\sin \theta \cos \theta {{\sin }^{2}}\theta $
C) $ 4\sin \theta -6{{\sin }^{3}}\theta $
D) None of these
Show Answer
Answer:
Correct Answer: A
Solution:
$ \sin 4\theta =2\sin 2\theta \cos 2\theta $ $ =2.2\sin \theta \cos \theta (1-2{{\sin }^{2}}\theta ) $ $ =4\sin \theta (1-2{{\sin }^{2}}\theta )\sqrt{1-{{\sin }^{2}}\theta } $
BETA
