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Friday, 9 October

JEE Main Maths · Inverse Trigonometric Functions

Tan-1 Sum and Difference

Tan-1 Sum and Difference (Inverse Trigonometric Functions) was asked once in the 42 JEE Main shifts Lumi analysed, in 2026.

Times asked
1
in 1 shift
Years
2026
Usual format
Single correct
Multi-step
Pattern
New since 2024
asked once so far

How it is asked

  • Tan inverse sum equation with constraint

Difficulty

Easy 0Medium 1Hard 0

Where it sits

Chapter: Inverse Trigonometric Functions. Topic: Inverse Trig Identities, 20 questions over 18 ideas.

Other repeat ideas in this topic

Every time it came

The question

Newest first, each with its options and official answer.

  1. 6 Apr 2026, Shift 1 · Q13Let 0<α<10<\alpha<1, β=13α\beta=\frac{1}{3\alpha} and tan⁡−1(1−α)+tan⁡−1(1−β)=π4\tan^{-1}(1-\alpha)+\tan^{-1}(1-\beta)=\frac{\pi}{4}. Then 6(α+β)6(\alpha+\beta) is equal to:MediumSingle correct