Trigonometric Identities Question 185
Question: If $ \cos x+{{\cos }^{2}}x=1, $ then the value of $ {{\sin }^{2}}x+{{\sin }^{4}}x $ is
Options:
A) 1
B) -1
C) 0
D) 2
Show Answer
Answer:
Correct Answer: A
Solution:
$ \cos x+{{\cos }^{2}}x=1\Rightarrow \cos x={{\sin }^{2}}x $
$ \therefore {{\sin }^{2}}x+{{\sin }^{4}}x=\cos x+{{\cos }^{2}}x=1 $ .
BETA
