If 0 le x le (pi)/(2), then the number ...

If `0 le x le (pi)/(2)`, then the number of value of x for which `sin x - sin 2x + sin 3x = 0`, is

A

4

B

3

C

1

D

2

Verified by Experts

The correct Answer is:

D

`sinx-sin2x+sin3x=0`
`rArr" "sinx-2sinxcosx+(3sinx-4sin3x)=0" "rArr" "sinx=0 or 1-2cosx+3-(1-cos^(2)x)=0`
`4cos^(2)-2cosx=0`
`cosx=0" or "cos x=1//2`

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