Inverse Trigono...

If $$x = {\sin ^{ - 1}}\left( {\sin 10} \right)\,\,and\,\,y = {\cos ^{ - 1}}\left( {\cos 10} \right)$$

If $$\theta \epsilon [4\pi ,5\pi ]$$, then $${ cos }^{ -1 }(cos\theta )$$ equals 

The sum of roots of the equation $$\tan^{-1}\dfrac{1}{1+2x}+\tan^{-1}\dfrac{1}{1+4x}=\tan^{-1}\dfrac{2}{x^{2}}$$ is 

If $${\sin ^{ - 1}}x + {\cos ^{ - 1}}y = \frac{{2\pi }}{5},$$ then $${\cos ^{ - 1}}x + {\sin ^{ - 1}}y$$ is 

$${\cos ^{ - 1}}\left( {\cos \;x} \right) = [x],[.]\;denotes\;the\;greatest\;\operatorname{int} eger\;function,\;is\;$$

The number of solution for the equation $$\cos^{-1}(1-x)+m\ \cos^{-1}x=\dfrac {n\pi}{2}$$ where $$m > 0,n \le 0$$ is

Solve the equation : $$4 \tan ^ { - 1 } \dfrac { 1 } { 5 } - \tan ^ { - 1 } \dfrac { 1 } { 239 } =?$$

If $$[\sin^{-1}(\cos ^{-1}(\sin ^{-1}(\tan ^{-1}x)))]=1$$, where $$\left[ \bullet  \right] $$ denotes the greatest integer function, then $$x\in $$

Let $$f( x ) = \sin ^ { - 1 } x + \cos ^ { - 1 } x \cdot$$ Then $$\frac { \pi } { 2 }$$ is equal to:

If $$tan^{-1}2x + tan^{-1}3x = \dfrac{\pi}{4}$$ then $$x$$ =