Question

Which of the following is equal to $\sin x\sec x$?

• A. $\tan x$
• B. $\cot x$
• C. $\cos x\tan x$
• D. $\cos x\text{cosec}x$
• E. $\cot x\text{cosec}x$

Answer 1

Answer: (A)

$\tan x$

$\sin x\cdot \sec x$
$=\sin x\times \frac{1}{\cos x}$
$=\frac{\sin x}{\cos x}$
$=\tan x$