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Test: Introduction to Inverse Trigonometry - JEE MCQ


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10 Questions MCQ Test Mathematics (Maths) for JEE Main & Advanced - Test: Introduction to Inverse Trigonometry

Test: Introduction to Inverse Trigonometry for JEE 2025 is part of Mathematics (Maths) for JEE Main & Advanced preparation. The Test: Introduction to Inverse Trigonometry questions and answers have been prepared according to the JEE exam syllabus.The Test: Introduction to Inverse Trigonometry MCQs are made for JEE 2025 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Introduction to Inverse Trigonometry below.
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Test: Introduction to Inverse Trigonometry - Question 1

The value of 15540_100(3) is given by​

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Test: Introduction to Inverse Trigonometry - Question 2

if 5 sin θ = 3, then  is equal to

Detailed Solution for Test: Introduction to Inverse Trigonometry - 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

Test: Introduction to Inverse Trigonometry - Question 3

Value of 

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Since sin-1(-π/2) = -sin-1(π/2) = -1

so, cot -1(-1)

let (- cot-11) = α

cot α = -1 = cot (π/2+π/4) = 3π/4

Test: Introduction to Inverse Trigonometry - Question 4

What is the solution of cot⁡(sin-1⁡x)?

Detailed Solution for Test: Introduction to Inverse Trigonometry - 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

The principal value of 
is.

Detailed Solution for Test: Introduction to Inverse Trigonometry - 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

If x< 0 then value of tan-1(x) + tan-1 (1/x) is equal to

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Test: Introduction to Inverse Trigonometry - Question 7

Find the value of tan-1⁡(1/3) + tan-1⁡(1/5) + tan-1⁡(1/7).

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Test: Introduction to Inverse Trigonometry - Question 8

Evaluate 

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Test: Introduction to Inverse Trigonometry - Question 9

What is the value of 2 tan-1⁡x?

Detailed Solution for Test: Introduction to Inverse Trigonometry - Question 9

 Let 2 tan-1⁡x = y

Test: Introduction to Inverse Trigonometry - Question 10

The complete solution set of the inequality cos−1(cos4) > 3x2 − 4x is

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