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What is the maximum value of sinthetac...

What is the maximum value of `sinthetacostheta` ?

A

1

B

`1//2`

C

`1//sqrt(2)`

D

`sqrt(3)//2`

Text Solution

Verified by Experts

The correct Answer is:
B
Let `p=sinthetacostheta`
Multiply and divide by 2 , we get
`p=(2sinthetacostheta)/(2)=(sin2theta)/(2)`
The maximum value of sin `2theta` is 1.
`therefore` Maximum value of `p=(1)/(2)`
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