Trigonometric Identities Question 160
Question: If $ \sin x+cosec,x=2, $ then $ 4\sin A\sin B\sin C $ is equal to
[UPSEAT 2002]
Options:
A) 2
B) $ 2^{n} $
C) $ {2^{n-1}} $
D) $ {2^{n-2}} $
Show Answer
Answer:
Correct Answer: A
Solution:
$ \sin x+\cos ecx=2\Rightarrow {{(\sin x-1)}^{2}}=0\Rightarrow \sin x=1 $
$ \therefore {{\sin }^{n}}x+cose{c^{n}}x=1+1=2 $ .
BETA
