Number of solution (s) of the equation $sin x = [x]$ where $[\cdot]$ denotes greatest integer function is

1

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2

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0

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Infinite

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Solution

The correct option is D $2$
There are two possible solution of given equation
$sin 0 = [0] = 0$
and $sin \frac{π}{2} = [\frac{π}{2}] = 1$
So correct answer will be option B

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sin x = [x]

.

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[]

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[.]

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[.]

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