Inverse Trigono...

If sin $$^{-1}(x-\dfrac{x^2}{2}+\dfrac{x^3}{4}+..............\infty)+$$ cos $$^{-1}(x^2-\dfrac{x^4}{2}+\dfrac{x^6}{4}-...........\infty)$$$$=\dfrac {\pi}{2}$$ and $$0 < x < \sqrt{2}$$ then x =

if f(x)=$${\tan ^{ - 1}}$$(x)than f(x)+f(y) is equal to:

$$\tan^{-1} \dfrac{1}{2} + \tan^{-1} \dfrac{1}{3} $$ equals

For $$x\in(0,\pi/2) $$

The number of real values of x satisfying the equation $$\tan^{-1}\left(\dfrac{x}{1-x^2}\right)+\tan^{-1}\left(\dfrac{1}{x^3}\right)=\dfrac{3\pi}{4}$$, is?

If $$\sin^{-1}\dfrac{1}{3} + \sin^{-1}\dfrac{2}{3} = \sin^{-1}x$$, then $$x$$ is equal to-

$${\tan ^{ - 1}}2 + {\tan ^{ - 1}}3$$ is equal to 

The value of $$\cos^{-1} (\cos 12) - \sin^{-1} (\sin 12)$$ is 

$$\tan(\cot^{-1}x)$$ is equal to :