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Saturday, 31 October

JEE Main 2026 · MathsMultiple choiceSingle correctMediumApplication

JEE Main 6 April 2026, Shift 2, Maths Q13

Question 13 of 75 in this shift, Maths question 13 of 25, Section A.

If sin⁡(tan⁡−1(x2))=cot⁡(sin⁡−11−x2)\sin\left(\tan^{-1}\left(x\sqrt{2}\right)\right)=\cot\left(\sin^{-1}\sqrt{1-x^2}\right), x∈(0,1)x\in(0,1), then the value of xx is :
  1. (1)12\frac{1}{2}Official answer
  2. (2)13\frac{1}{3}
  3. (3)23\frac{2}{3}
  4. (4)58\frac{5}{8}

Official answer

Option 1

NTA final key.

Chapter
Inverse Trigonometric Functions
Topic
Inverse Trig Identities
Idea tested
Evaluating Trig of Inverse Trig

Same idea in other shifts

Asked 3× in all
  1. 27 Jul 2022, Shift 1 · Q21For k∈Rk \in \mathbb{R}, let the solutions of the equation…HardNumerical value
  2. 26 Jun 2022, Shift 2 · Q19If the inverse trigonometric functions take principal values, then…EasySingle correct

Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.