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If x, y in [0, 2pi] and sin x + sin y=2,...

If `x, y in [0, 2pi]` and `sin x + sin y=2`, then the value of `x+y` is

A

`pi`

B

`pi//2`

C

`3pi`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
`x in [0, 2pi]` and `y in [0, 2pi]`, and `sin x + sin y=2`
This is possible only when `sin x=1` and `sin y=1`. Thus,
`x=pi//2 and y=pi//2`
Hence, `x+y=pi`.
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