The number of distinct real roots of the...

The number of distinct real roots of the equation `sin^(3)x +sin^(2)x sin x-sin x- sin 2x-2cos x=0` belonging to the interval `(-(pi)/(2),(pi)/(2))`

A

0

B

1

C

2

D

3

Verified by Experts

The correct Answer is:

B

`(sin^(2)x + sin x + 1)(sin x -2 cos x)= 0`
`rarr tan x = 2`

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