If $3tan^{-1}x+cot^{-1}x=\pi $, then x e

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Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Inverse Trigonometric Functions

Question:

If $3tan^{-1}x+cot^{-1}x=\pi $, then x equals to :

Options:

-1

$\frac{1}{2}$

Correct Answer:

Explanation:

The correct answer is option (2) → 1 $\frac{80}{89}$

$3\tan^{-1}x+\cot^{-1}x=\pi$

$⇒2\tan^{-1}x+\frac{\pi}{2}=\pi$

so $2\tan^{-1}x=\frac{\pi}{2}$

so $\tan^{-1}x=\frac{\pi}{4}$

$⇒x=1$