For all real values of x, -2 is equal to: - Vidyadip

MCQ

For all real values of $\text{x},\cot\text{x}-2\cot\text{}$ is equal to:

A
$\tan2\text{x}$
✓
$\tan\text{x}$
C
$-\cot3\text{x}$
D
None of these

✓

Answer

Correct option: B.

$\tan\text{x}$

We have,
$\cot\text{x}-2\cot2\text{x}=\cot\text{x}-2\frac{\cot^2\text{x}-1}{2\cot\text{x}}$
$=\frac{1}{\cot\text{x}}$
$=\tan\text{x}$

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