Question

If \(0 < x < \dfrac{\pi}{2}\), then

• A. \(\tan x
• B. \(x<\sin x<\tan x\)
• C. \(\sin x<\tan x
• D. None of the above

Hint:

Remember the standard inequality: \(\sin x < x < \tan x\).

Answer 1

The Correct Option is B

Step 1: For \(0 < x < \frac{\pi}{2}\), \[ \sin x < x < \tan x \]
Step 2: Hence, \[ x < \sin x < \tan x \] is the correct inequality.