Question

Assertion :The value of secant function at the point $x=\frac{n\pi }{2}$ is not defined for integer values of n. Reason: The value of secant function at the point $x=\frac{n\pi }{2}$ becomes $\infty$.

• A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
• B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
• C. Assertion is correct but Reason is incorrect
• D. Both Assertion and Reason are incorrect

Answer 1

The correct option is A Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

The value of secant function at point $x=\frac{n\pi }{2}$ is not defined for integral values of $n$

Since the domain of $\sec$ function doesnot contain multiples of $\frac{\pi }{2}$

This is because the value of $\sec$ becomes infinity at multiples of $\frac{\pi }{2}$