Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Inverse Trigonometric Functions

Question:

The value of x given by $cos(tan^{-1}x)=sin(cot^{-1}\frac{3}{4})$ is :

Options:

$\frac{1}{4}$

$\frac{3}{4}$

$\frac{3}{2}$

1

Correct Answer:

$\frac{3}{4}$

Explanation:

The correct answer is Option (2) → $\frac{3}{4}$

$\cos(\tan^{-1}x)=\sin(\cot^{-1}\frac{3}{4})$

$⇒\frac{\pi}{2}-\tan^{-1}x=\cot^{-1}\frac{3}{4}⇒x=\frac{3}{4}$