Trigonometric Identities Question 122
Question: If $ \sin \theta +\cos \theta =1 $ , then $ \sin \theta \cos \theta = $
[Karnataka CET 1998]
Options:
A) 0
B) 1
C) 2
D) 1/2
Show Answer
Answer:
Correct Answer: A
Solution:
$ \sin \theta +\cos \theta =1 $ Squaring on both sides, we get
$ \Rightarrow {{\sin }^{2}}\theta +{{\cos }^{2}}\theta +2\sin \theta \cos \theta =1 $
$ \therefore \sin \theta \cos \theta =0 $ .
BETA
