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Total number of solutions for the equation is $x^{2} - 3 [\sin (x - \frac{π}{6})] = 3$ (where [.] denotes the greatest integer function)

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Correct option is B

We have x2−3sinx−π6=3We can see that sinx-π6≠1 ⇒sinx-π6=-1 or 0 -1≤sinx-π6<1⇒The given equation becomes x2+3=3 or x2=3 ⇒x=0,3 are the only solutions satisfying the given equation

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Total number of solutions for the equation is x2−3sinx−π6=3(where [.] denotes the greatest integer function)

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Total number of solutions for the equation is $x^{2} - 3 [\sin (x - \frac{π}{6})] = 3$ (where [.] denotes the greatest integer function)