1

JEE Main 2023 (Online) 24th January Morning Shift

MCQ (Single Correct Answer)

+4

-1

$${\tan ^{ - 1}}\left( {{{1 + \sqrt 3 } \over {3 + \sqrt 3 }}} \right) + {\sec ^{ - 1}}\left( {\sqrt {{{8 + 4\sqrt 3 } \over {6 + 3\sqrt 3 }}} } \right)$$ is equal to :

2

JEE Main 2022 (Online) 28th July Evening Shift

MCQ (Single Correct Answer)

+4

-1

The sum of the absolute maximum and absolute minimum values of the function $$f(x)=\tan ^{-1}(\sin x-\cos x)$$ in the interval $$[0, \pi]$$ is :

3

JEE Main 2022 (Online) 28th July Morning Shift

MCQ (Single Correct Answer)

+4

-1

Considering the principal values of the inverse trigonometric functions, the sum of all the solutions of the equation $$\cos ^{-1}(x)-2 \sin ^{-1}(x)=\cos ^{-1}(2 x)$$ is equal to :

4

JEE Main 2022 (Online) 26th July Evening Shift

MCQ (Single Correct Answer)

+4

-1

If $$0 < x < {1 \over {\sqrt 2 }}$$ and $${{{{\sin }^{ - 1}}x} \over \alpha } = {{{{\cos }^{ - 1}}x} \over \beta }$$, then the value of $$\sin \left( {{{2\pi \alpha } \over {\alpha + \beta }}} \right)$$ is

Questions Asked from Inverse Trigonometric Functions (MCQ (Single Correct Answer))

Number in Brackets after Paper Indicates No. of Questions

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