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JEE Main 2022 · MathsNumerical answerNumerical valueMediumCalculation

JEE Main 29 June 2022, Shift 1, Maths Q26

Question 26 of 90 in this shift, Maths question 26 of 30, Section B.

50\tan\left(3\tan^{-1}\left(\frac{1}{2}\right) + 2\cos^{-1}\left(\frac{1}{\sqrt{5}}\right)\right) + 4\sqrt{2}\tan\left(\frac{1}{2}\tan^{-1}(2\sqrt{2})\right)

is equal to ____________.

Official answer

29

NTA final key (2022 Session 1).

Chapter: Inverse Trigonometric Functions
Topic: Inverse Trig Identities
Idea tested: Trig of Sum of Inverse Trig Functions

Same idea in other shifts

Asked 2× in all

2 Apr 2025, Shift 2 · Q23If $y = \cos\left(\frac{\pi}{3} + \cos^{-1}\frac{x}{2}\right)$ , then $(x-y)^2 + 3y^2$ is equal to __________.MediumNumerical value

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 42 of the 174 JEE Main shifts held from 2017 to 2026.