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The number of values of x in the interva...

The number of values of x in the interval `[0,5pi]` satisfying the equation `3 sin^2 x-7 sin x+2=0` is :

A

0

B

5

C

6

D

10

Text Solution

Verified by Experts

`3sin^2x-7sinx+2=0`
`3sin^2x-6sinx-sinxx+2=0`
`3sinx(sinx-2)-1(sinx-2)=0`
`(sinx-2)(3sinx-1)=0`
`sinx=2`
No solution
`sinx=1/3`
Number of x=6
...
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