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Number of solutions to the equation sin^-1x - cos^-1x(√3/2) is (A) One (B) Two

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Number of solutions to the equation sin-1x - cos-1x(√3/2)  is

(A) One

(B) Two

(C) Four

(D) None of these

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1 Answer

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Best answer

Correct option (A) One

Explanation:

Squaring both sides, we have

9/4(1 - x2) = 3x2/4 ⇒ x = ± √3/2

Only x = √3/2 satisfies the equation.

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