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JEE Exam  >  JEE Test  >  Mathematics (Maths) Main & Advanced  >  Test: Introduction to Inverse Trigonometry - JEE MCQ

Introduction to Inverse Trigonometry - Free MCQ Practice Test with solutions,


MCQ Practice Test & Solutions: Test: Introduction to Inverse Trigonometry (10 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 "Test: Introduction to Inverse Trigonometry". These 10 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: 10 minutes
  • - Number of Questions: 10

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Test: Introduction to Inverse Trigonometry - Question 1
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The value of 15540_100(3) is given by​

Detailed Solution: Question 1

First, recall that the principal value of  is 

So the expression becomes

Add the angles: 

So we have 

Test: Introduction to Inverse Trigonometry - Question 2
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if 5 sin θ = 3, then  is equal to

Detailed Solution: Question 2

sin θ is 3/5.
on simplifying:
(secθ + tanθ)/(secθ - tanθ)
We get, (1+sin θ)/(1-sin θ)
=(1+3/5)/(1-3/5)
=(8/2)
=4

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Test: Introduction to Inverse Trigonometry - Question 3
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cos⁻¹(1/2) + 2 sin⁻¹(1/2)

Detailed Solution: Question 3

cos⁻¹(1/2) = cos⁻¹(cos(π/3)) = π/3
sin⁻¹(1/2) = sin⁻¹(sin(π/6)) = π/6

Therefore
cos⁻¹(1/2) + 2 sin⁻¹(1/2)
= π/3 + 2·(π/6)
= π/3 + π/3
= 2π/3

Test: Introduction to Inverse Trigonometry - Question 4
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What is the solution of cot⁡(sin-1⁡x)?

Detailed Solution: Question 4

Let sin-1⁡x = y.
From ∆ABC, we get

y = sin-1⁡x
= 

∴cot⁡(sin-1⁡x)

=  

Test: Introduction to Inverse Trigonometry - Question 5
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The principal value of 
is.

Detailed Solution: Question 5

tan-1 (tan 3π/5)
This can be written as:
tan-1 (tan 3π/5) = tan-1 (tan[π – 2π/5])
= tan-1 (- tan 2π/5) {since tan(π – x) = -tan x}
= –tan-1 (tan 2π/2)
= –2π/5

Test: Introduction to Inverse Trigonometry - Question 6
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If x< 0 then value of tan-1(x) + tan-1 (1/x) is equal to

Detailed Solution: Question 6

Test: Introduction to Inverse Trigonometry - Question 7
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Find the value of tan-1⁡(1/3) + tan-1⁡(1/5) + tan-1⁡(1/7).

Detailed Solution: Question 7


Test: Introduction to Inverse Trigonometry - Question 8
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Evaluate  ​

Detailed Solution: Question 8


   

Test: Introduction to Inverse Trigonometry - Question 9
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What is the value of 2 tan-1⁡x?

Detailed Solution: Question 9

 Let 2 tan-1⁡x = y

Test: Introduction to Inverse Trigonometry - Question 10
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The complete solution set of the inequality cos−1(cos4) > 3x2 − 4x is

Detailed Solution: Question 10

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About this JEE Practice Test

This test contains 10 MCQs on Introduction to Inverse Trigonometry with detailed solutions for each question. It is part of the Mathematics (Maths) for JEE Main & Advanced course on EduRev, designed to align with the current JEE syllabus. Each solution explains not just the correct answer but also gives you an understanding of the topic — not just to attempt the question but also help you prepare for the exam with practice.

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