Question

Assertion :For a given angle $x$ the following relation holds true:
$\sec x=\frac{1}{\cos x}$ Reason: The graph of secant function can be obtained by inverting the graph of cosine function.

• 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 C Assertion is correct but Reason is incorrect

$secx=\frac{Hypotenuse}{Adjacent}$

$\cos x=\frac{Adjacent}{Hypotenuse}$

$⟹\sec x=\frac{1}{\cos x}$

The graph of $\cos$ function is waveform

By inverting the graph of $\cos x$ ,we cannot get $\text{sec}x$

So the assertion is true but the reason is not true