MCQ
If $\tan\text{x}-3\cot\text{x}$ then $\text{x}=?$
- A$45^\circ$
- ✓$60^\circ$
- C$30^\circ$
- D$15^\circ$
✓
Answer
Correct option: B.
$60^\circ$
$\tan\text{x}-3\cot\text{x}$
$\Rightarrow\tan\text{x}=3\times\frac{1}{\tan\text{x}}$
$\Rightarrow\tan^2\text{x}=3$
$\Rightarrow\tan\text{x}=\sqrt3$
$\Rightarrow\tan\text{x}=\tan60^\circ$
$\Rightarrow\text{x}=60^\circ$
$\Rightarrow\tan\text{x}=3\times\frac{1}{\tan\text{x}}$
$\Rightarrow\tan^2\text{x}=3$
$\Rightarrow\tan\text{x}=\sqrt3$
$\Rightarrow\tan\text{x}=\tan60^\circ$
$\Rightarrow\text{x}=60^\circ$
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