The solution set of the equation sin-1-1-x2-cos-1x-cot-1-1-x2-x-sin-1x is

The correct option is A [ 1,0)∪{1} ...

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Trigonometric Ratios of Compound Angles

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Question

The solution set of the equation $s i n^{- 1} \sqrt{1 - x^{2}} + c o s^{- 1} x = c o t^{- 1} \frac{\sqrt{1 - x^{2}}}{x} - s i n^{- 1} x$ is

[- 1, 1] - {0}

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(0, 1] \cup {- 1}

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[- 1, 0) \cup {1}

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[- 1, 1]

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{sin}^{- 1} \sqrt{1 - x^{2}} + {cos}^{- 1} x = {cot}^{- 1} \frac{\sqrt{1 - x^{2}}}{x} - {sin}^{- 1} x

{sin}^{- 1} \sqrt{1 - x^{2}} + {cos}^{- 1} x = {cot}^{- 1} \frac{\sqrt{1 - x^{2}}}{x} - {sin}^{- 1} x

The solution set of the equation $t a n^{- 1} x - c o t^{- 1} x = c o s^{- 1} (2 - x)$ is

{s i n}^{- 1} x = 3 {s i n}^{- 1} (a)

- \frac{1}{2} \leq a \leq \frac{1}{2}

\forall x \in [- 1, 1], {s i n}^{- 1} x \in [0, 2 π]

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