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Friday, 9 October

JEE Main Maths · Continuity and Differentiability

Simplifying tan-1 with a cos x and b sin x

Simplifying tan-1 with a cos x and b sin x (Continuity and Differentiability) 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

  • Differentiate simplified inverse trig expression

Difficulty

Easy 0Medium 1Hard 0

Where it sits

Chapter: Continuity and Differentiability. 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. 4 Apr 2026, Shift 1 · Q16If y=tan⁡−1(3cos⁡x−4sin⁡x4cos⁡x+3sin⁡x)+2tan⁡−1(x1+1−x2)y=\tan^{-1}\left(\frac{3\cos x-4\sin x}{4\cos x+3\sin x}\right)+2\tan^{-1}\left(\frac{x}{1+\sqrt{1-x^2}}\right), then dydx\frac{dy}{dx}…MediumSingle correct