1

JEE Main 2021 (Online) 16th March Evening Shift

MCQ (Single Correct Answer)

+4

-1

Given that the inverse trigonometric functions take principal values only. Then, the number of real values of x which satisfy

$${\sin ^{ - 1}}\left( {{{3x} \over 5}} \right) + {\sin ^{ - 1}}\left( {{{4x} \over 5}} \right) = {\sin ^{ - 1}}x$$ is equal to :

$${\sin ^{ - 1}}\left( {{{3x} \over 5}} \right) + {\sin ^{ - 1}}\left( {{{4x} \over 5}} \right) = {\sin ^{ - 1}}x$$ is equal to :

2

JEE Main 2021 (Online) 26th February Evening Shift

MCQ (Single Correct Answer)

+4

-1

If 0 < a, b < 1, and tan

$$(a + b) - \left( {{{{a^2} + {b^2}} \over 2}} \right) + \left( {{{{a^3} + {b^3}} \over 3}} \right) - \left( {{{{a^4} + {b^4}} \over 4}} \right) + .....$$ is :

^{$$-$$1}a + tan^{$$-$$1}b = $${\pi \over 4}$$, then the value of$$(a + b) - \left( {{{{a^2} + {b^2}} \over 2}} \right) + \left( {{{{a^3} + {b^3}} \over 3}} \right) - \left( {{{{a^4} + {b^4}} \over 4}} \right) + .....$$ is :

3

JEE Main 2021 (Online) 26th February Morning Shift

MCQ (Single Correct Answer)

+4

-1

If $${{{{\sin }^1}x} \over a} = {{{{\cos }^{ - 1}}x} \over b} = {{{{\tan }^{ - 1}}y} \over c}$$; $$0 < x < 1$$,

then the value of $$\cos \left( {{{\pi c} \over {a + b}}} \right)$$ is :

then the value of $$\cos \left( {{{\pi c} \over {a + b}}} \right)$$ is :

4

JEE Main 2021 (Online) 25th February Evening Shift

MCQ (Single Correct Answer)

+4

-1

cosec$$\left[ {2{{\cot }^{ - 1}}(5) + {{\cos }^{ - 1}}\left( {{4 \over 5}} \right)} \right]$$ is equal to :

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

Number in Brackets after Paper Indicates No. of Questions

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