Inverse Trigono...

$$\sin \left\{\dfrac {\pi}{3}-\sin^{-1}\left (\dfrac {-1}{2}\right) \right\}=$$ ?

Evaluate : $$\tan \dfrac {1}{2}\left (\cos^{-1}\dfrac {\sqrt 5}{3}\right)$$ 

Evaluate : $$\cot (\tan^{-1}x+\cot^{-1}x)$$ 

If $$x\neq 0$$ then $$\cos (\tan^{-1}x+\cot^{-1}x)=$$?

$$\cos \left(\tan^{-1} \dfrac {3}{4}\right)=$$?

The value of $$\sin \left(\cos^{-1}\dfrac {3}{5}\right)$$ is

Evaluate : $$\cos \left(2\tan^{-1}\dfrac {1}{2}\right)$$ 

$$\sin \left [2\tan^{-1}\dfrac {5}{8}\right]$$

$$\sin \left [2\sin^{-1}\dfrac{4}{5}\right]$$

$$\tan \left\{\cos^{-1}\dfrac {4}{5}+\tan^{-1}\dfrac {2}{3}\right\}=$$ ?