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Properties Derived from Trigonometric Identities

The number of...

Question

The number of solutions of equation $S i n^{- 1} (| x^{2} - 1 |) + C o s^{- 1} (| 2 x^{2} - 5 |) = \frac{π}{2}$ is ___

A

1

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B

\N

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C

3

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D

2

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Solution

The correct option is D 2
$| x^{2} - 1 | = | 2 x^{2} - 5 | \Rightarrow x = \pm \sqrt{2}$

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