The number of solutions for the equation 2 sin -1-x2-x-1-cos -1-x2-x-3 -2 is

The correct option is B 2 x^2 x=0 ⇒ x = 0,1 ...

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Range of Quadratic Expression

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The number of solutions for the equation $2 s i n^{- 1} \sqrt{x^{2} - x + 1} + c o s^{- 1} \sqrt{x^{2} - x} = \frac{3 π}{2}$ is

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More than 2.

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2 {sin}^{- 1} \sqrt{x^{2} - x + 1} + {cos}^{- 1} \sqrt{x^{2} - x} = \frac{3 π}{2}

2 {sin}^{- 1} \sqrt{x^{2} + x + 1} + {cos}^{- 1} \sqrt{x^{2} + x} = \frac{3 π}{2}

2 {sin}^{- 1} \sqrt{x^{2} + x + 1} + {cos}^{- 1} \sqrt{x^{2} + x} = \frac{3 π}{2}

- λ

λ

x \in [- π, 3 π]

cos \frac{(\sqrt{2} + 1) x}{2} cos \frac{(\sqrt{2} - 1) x}{2} = 1

f (x) = {tan}^{- 1} (\frac{1 - \sqrt{x^{2} - 1}}{\sqrt{x^{2} + 2 \sqrt{x^{2} - 1}}}) + {sin}^{- 1} (\frac{\sqrt{x^{2} - 1}}{| x |})

| x | \geq 1,

tan (f (x)) = | x^{2} - 2 |

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