JEE Main 2022 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 30 June 2022, Shift 1, Maths Q10

Question 10 of 90 in this shift, Maths question 10 of 30, Section A.

Let m and M respectively be the minimum and the maximum values of

f(x) = \sin^{-1}2x + \sin 2x + \cos^{-1}2x + \cos 2x

x \in \left[0, \frac{\pi}{8}\right]

. Then

m+M

is equal to :

(1) $1 + \sqrt{2} + \pi$ Official answer
(2) $(1+\sqrt{2})\pi$
(3) $\pi + \sqrt{2}$
(4) $1 + \pi$

Official answer

Option 1

NTA final key.

Chapter: Inverse Trigonometric Functions
Topic: Inverse Trig Identities
Idea tested: Complementary Identities

Same idea in other shifts

Asked 7× in all

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26 Feb 2021, Shift 1 · Q76If $\frac{\sin^{-1}x}{a}=\frac{\cos^{-1}x}{b}=\frac{\tan^{-1}y}{c}$ ; $0<x<1$ , then the value of $\cos\left(\frac{\pi c}{a+b}\right)$ is :MediumSingle 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.