Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Inverse Trigonometric Functions

Question:

$\sin\{\cot^{-1}(\tan\,\cos^{-1}x)\}$ is equal to:

Options:

x

$\sqrt{(1-x^2)}$

$\frac{1}{x}$

None of these

Correct Answer:

x

Explanation:

$\cot^{-1}\tan(\cos^{-1}x)=\frac{π}{2}-\tan^{-1}\tan(\cos^{-1}x)=\frac{π}{2}-\cos^{-1}x$