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Inverse Trigonometric Functions - 2 - Free MCQ Test with solutions


MCQ Practice Test & Solutions: Inverse Trigonometric Functions - 2 (30 Questions)

You can prepare effectively for JEE Mathematics (Maths) for JEE Main & Advanced with this dedicated MCQ Practice Test (available with solutions) on the important topic of "Inverse Trigonometric Functions - 2". These 30 questions have been designed by the experts with the latest curriculum of JEE 2026, to help you master the concept.

Test Highlights:

  • - Format: Multiple Choice Questions (MCQ)
  • - Duration: 60 minutes
  • - Number of Questions: 30

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Inverse Trigonometric Functions - 2 - Question 1


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Inverse Trigonometric Functions - 2 - Question 2

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In given options we can see only 7π/24 as a option. So, correct answer is option A.

Inverse Trigonometric Functions - 2 - Question 3


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Inverse Trigonometric Functions - 2 - Question 4


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Inverse Trigonometric Functions - 2 - Question 5


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Inverse Trigonometric Functions - 2 - Question 6


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Inverse Trigonometric Functions - 2 - Question 7

If sin–1 x + sin–1 y + sin–1 z = π, then x4 + y4 + z4  + 4x2y2z2 = k (x2y2 + y2z2 + z2x2), where k is equal to -

Detailed Solution: Question 7


Inverse Trigonometric Functions - 2 - Question 8

Sum of maximum and minimum values of (sin–1 x)4 + (cos–1 x)4 is -

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Inverse Trigonometric Functions - 2 - Question 9


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Inverse Trigonometric Functions - 2 - Question 10


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Inverse Trigonometric Functions - 2 - Question 11


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Inverse Trigonometric Functions - 2 - Question 12

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Inverse Trigonometric Functions - 2 - Question 13


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Inverse Trigonometric Functions - 2 - Question 14


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Inverse Trigonometric Functions - 2 - Question 15


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Inverse Trigonometric Functions - 2 - Question 16


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Inverse Trigonometric Functions - 2 - Question 17


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Inverse Trigonometric Functions - 2 - Question 18


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Inverse Trigonometric Functions - 2 - Question 19


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Here, the expression could be written as


Inverse Trigonometric Functions - 2 - Question 20

The range of the function, (x) = cot–1x + sec–1x + cosec–1x, is

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Inverse Trigonometric Functions - 2 - Question 21


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Inverse Trigonometric Functions - 2 - Question 22


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Inverse Trigonometric Functions - 2 - Question 23


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Inverse Trigonometric Functions - 2 - Question 24


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Inverse Trigonometric Functions - 2 - Question 25


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Inverse Trigonometric Functions - 2 - Question 26

The value of x for which sin[cot–1(1 + x)] = cos(tan–1x) is

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Inverse Trigonometric Functions - 2 - Question 27


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Inverse Trigonometric Functions - 2 - Question 28

The equation (sin–1x)3 + (cos–1x)3 = απ3 has no solution for

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Inverse Trigonometric Functions - 2 - Question 29


Detailed Solution: Question 29


Inverse Trigonometric Functions - 2 - Question 30


Detailed Solution: Question 30


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