The number of solutions of the equation cos-1x-cos-1-1-x2- is

The correct option is A 1 cos^ 1√(1 x^2)=π cos^ 1x cos^ 1√(1 x^2)=cos^ 1 x √(1 x^2)= x 1 x^2=x^2 x=±1√(2) ⇒ x= 1√(2) #16 ...

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General Solution of Trigonometric Equation

The number of...

Question

The number of solutions of the equation ${cos}^{- 1} x + {cos}^{- 1} \sqrt{1 - x^{2}} = π$ is

1

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2

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0

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none of these

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c o s^{- 1} x + c o s^{- 1} (\frac{x}{2} + \frac{1}{2} \sqrt{3 - 3 x^{2}}) = \frac{π}{3}

x \in [- π, 3 π]

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

{sin}^{- 1} (\infty \sum i = 1 x^{i + 1} - x \infty \sum i = 1 {(\frac{x}{2})}^{i}) = \frac{π}{2} - {cos}^{- 1} (\infty \sum i = 1 {(- \frac{x}{2})}^{i} - \infty \sum i = 1 (- x)^{i})

(- \frac{1}{2}, \frac{1}{2})

{sin}^{- 1} x

{cos}^{- 1} x

[- \frac{π}{2}, \frac{π}{2}]

[0, π]

S i n^{- 1} (| x^{2} - 1 |) + C o s^{- 1} (| 2 x^{2} - 5 |) = \frac{π}{2}

c o s^{- 1} (\frac{1 + x^{2}}{2 x}) - c o s^{- 1} x = \frac{π}{2} + s i n^{- 1} x

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