Inverse Trigono...

The domain of $$f(x) =\displaystyle \frac{\sin ^{-1}x}{x}$$ is

Number of triplets $$\left ( x, y, z \right )$$ satisfying $$\sin ^{-1}x+\sin ^{-1}y+\cos ^{-1}z=2\pi$$ is

The equation $$2 cos^{-1} x = sin^{-1} (2 x \sqrt{1 - x^2}) $$ is valid for all values of x satisfying

If $$\displaystyle \tan^{-1}{\left(\frac{a}{x}\right)}+\tan^{-1}{\left(\frac{b}{x}\right)}=\frac{\pi}{2}$$, then $$x$$ is equal to :

If $$ 2 sin h^{-1}\left ( \dfrac{a}{\sqrt{1-a^{2}}} \right ) = log\left ( \dfrac{1+X}{1-X} \right )$$ then X=

The sum of $$\cot ^{ -1 }{ 2 } +\cot ^{ -1 }{ 8 } +\cot ^{ -1 }{ 18 } ....\infty =\cfrac { \pi  }{ \lambda  } $$, then $$\lambda $$ is

The domain of the function $$f(x)=\sqrt{cos^{-1}\begin{pmatrix}\dfrac{1-|x|}{2}\end{pmatrix}}$$ is

The trigonometric equation $$\sin^{-1}x=2\, \sin^{-1}2a$$ has a real solution, if

$$\tan^{-1}(x + \sqrt{1 + x^{2}})$$ =

The value of $$\cot^{-1} \left[ \dfrac{\sqrt{1 - \sin x} +\sqrt{1 + \sin x}}{\sqrt{(1 - \sin x)} - \sqrt{(1 + \sin x)}} \right]$$ is