Inverse Trigono...

The value of $$\tan ^{ -1 }{ \left( 2\sin { \left( \sec ^{ -1 }{ \left( 2 \right)  }  \right)  }  \right)  } $$ is

The value of $$\cos ^{ -1 }{ \left\{ \frac { \sqrt { 1-\sin { x }  } +\sqrt { 1+\sin { x }  }  }{ \surd \left( 1-\sin { x }  \right) -\surd \left( 1+\sin { x }  \right)  }  \right\}  }$$ is $$\left( 0<x<2\pi  \right)$$

$$2\cot ^{ -1 }{ 7 } +\cos ^{ -1 }{ \dfrac { 3 }{ 5 }  } $$ is equal to 

$${ cos }^{ -1 }\left( \dfrac { 3+5\cos { x }  }{ 5+3\cos { x }  }  \right) =$$

The value of $$\cos\left\{\tan^{-1}\left(\tan \dfrac{15\pi}{4}\right)\right\}$$ is?

If $$\sin^{-1}\left(x-\dfrac {x^{2}}{2}+\dfrac {x^{3}}{4}-...\infty \right)+\cos^{-1}\left(x^{2}-\dfrac {x^{4}}{2}+\dfrac {x^{6}}{4}-...\infty \right)=\dfrac {\pi}{2}$$ for $$0 < |x| < \sqrt {2}$$,then $$x$$ equal

The value of $$\cot^{-1}{3}+sec^{-1}{\dfrac{\sqrt{5}}{2}}$$ is

The value of $$\tan^{-1}\dfrac {1}{2}+\tan^{-1}\dfrac {1}{3}$$ is