Simplify sin-12x -1-x2- 1-2- x - 1

let x=sinθ> then> θ =sin^ 1x then >sin^ 1(2sinθ√(1 sin^2θ #10;)) =sin^ 1(2sinθ cosθ ) =sin^ 1(sin2θ ) =2θ #10; =2sin^ 1x ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Basic Inverse Trigonometric Functions

Simplify si...

Question

Simplify $s i n^{- 1} (2 x \sqrt{1 - x^{2}}), \frac{1}{\sqrt{2}} \leq x \leq 1$

Open in App

Solution

Suggest Corrections

Similar questions

{sin}^{- 1} (2 x \sqrt{1 - x^{2}}) = \dots \dots (| x | < \frac{1}{\sqrt{2}})

x

{cos}^{- 1} 2 x \sqrt{1 - x^{2}}, \frac{1}{\sqrt{2}} < x < 1

x

{cos}^{- 1} {2 x \sqrt{1 - x^{2}}}, \frac{1}{\sqrt{2}} < x < 1

Simplify : $\frac{1 + 2 s i n x c o s x}{(s i n x + c o s x)^{2}}$

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

f^{'} (2) = - \frac{2}{5}

{sin}^{- 1} (\frac{2 x}{1 + x^{2}}) = π - 2 {tan}^{- 1} x

\forall x > 1

Join BYJU'S Learning Program