The number of value(s) of x in the inter...

The number of value(s) of x in the interval `[0,5pi]` satisfying the inequation
`3sin^(2)x - 7 sinx +2 lt 0` such that sinx is an integer is

A

1

B

2

C

3

D

infinite

Verified by Experts

The correct Answer is:

C

`3 sin^(3)x - 7 sin x +2 lt 0`
`rArr 1/3 lt sin x le 1`
`rArr sin x=1`
`rArr x=pi/2, (5pi)/2, (9pi)/2`

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