The value of x given by $cos(tan^{-1}x)=sin(cot^{-1}\frac{3}{4})$ is :
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → $\frac{3}{4}$
$\cos(\tan^{-1}x)=\sin(\cot^{-1}\frac{3}{4})$
$⇒\frac{\pi}{2}-\tan^{-1}x=\cot^{-1}\frac{3}{4}⇒x=\frac{3}{4}$