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What is the maximum value of sin3thetaco...

What is the maximum value of `sin3thetacos2theta+cos3thetasin2theta`?

A

1

B

2

C

4

D

10

Text Solution

Verified by Experts

The correct Answer is:
A
Consider `sin3thetacos2theta+cos3thetasin2theta`
`=sin(3theta+2theta)[{:(becausesinAcosB+cosAsinB,),(=sin(A+B),):}]`
`=sin(5theta)`
We know , `-1ltsinthetalt1`
Hence , maximum value of given expression is 1.
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