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The equation sin x + sin y + sin z = -3 ...

The equation `sin x + sin y + sin z = -3` for `0le x le2pi, 0le y le 2pi, 0le z le 2pi` has

A

One solution

B

Two solution

C

Four solution

D

No solution

Text Solution

Verified by Experts

The correct Answer is:
A
The equation `sin x + sin y` ………….
`0le x le 2pi, 0 le y 2 pi`, ……..
Given `sin x + sin y + sin z = -3` is satisfied only when `x=y=z= (3pi)/(2)`, for `x, y, z epsilon [0, 2pi]`
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