If $\cot ^{-1}\left(\frac{1}{5} ight)= heta$, then $\sin heta$ is

Question

If $\cot ^{-1}\left(\frac{1}{5}ight)=	heta$, then $\sin 	heta$ is

Professor PC Thomas Classes · Answer

$\cot	heta = \frac{1}{5}$. Hypotenuse $= \sqrt{1^2 + 5^2} = \sqrt{26}$. $\sin	heta = \frac{5}{\sqrt{26}}$.