Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Inverse Trigonometric Functions

Question:

If $\frac{1}{2}<|x|<1$, then which of the following is not defined?

Options:

$\sin^{-1}x$

$\tan^{-1}x$

$\sec^{-1}x$

$\cos^{-1}x$

Correct Answer:

$\sec^{-1}x$

Explanation:

$\frac{1}{2}<|x|<1⇒x∈(-1,\frac{-1}{2})∪(\frac{1}{2},1)⇒\sin^{-1}x,\tan^{-1}x,\cos^{-1}x$ are defined and real while $\sec^{-1}x$ is not defined.