If $\tan ^{-1} k-\tan ^{-1} 3=\tan ^{-1} \frac{1}{13}$, then $k=$

JEE MATHEMATICS MCQ: INVERSE TRIGONOMETRY

1 Easy

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Application +4 | -1

\tan ^{-1} k-\tan ^{-1} 3=\tan ^{-1} \frac{1}{13}

, then

k=

View answer and explanation

Correct option: A

Option A (4) is correct because by applying the tangent subtraction formula and solving for k, the value of k is found to be 4.

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