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Trigonometry MCQs for JEE

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Trigonometry JEE MCQs on Goodmarks include 38+ multiple-choice questions with correct answers and step-by-step solutions. Attempt free samples below or unlock the full bank with Pro.

Master Trigonometry through exam-style multiple-choice questions. This page features 38+ JEE MCQs covering Trigonometrical identities and trigonometrical functions, Inverse trigonometrical functions and their properties, each with verified answers and clear explanations.

Subtopics in Trigonometry

Trigonometrical identities and trigonometrical functions
Inverse trigonometrical functions and their properties

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Q1MathsUnit 14: Trigonometry

Assertion Consider

\boldsymbol{f}(\boldsymbol{x})=\sin ^{-1}\left(\sec \left(\tan ^{-1} \boldsymbol{x}\right)+\right.

\cos ^{-1}\left(\operatorname{cosec}\left(\cot ^{-1} x\right)\right.

Statement-1: Domain of

f(x)

is a singleton. Reason Statement-2: Range of the function

\boldsymbol{f}(\boldsymbol{x})

is a singleton.

Q2MathsUnit 14: Trigonometry

The number of real solutions of the equation

\tan ^{-1} \sqrt{x(x+1)}+

\sin ^{-1} \sqrt{x^{2}+x+1}=\frac{\pi}{2}

Q3MathsUnit 14: Trigonometry

\mathbf{A}=\cos 20^{0} \cos 40^{0} \cos 60^{0} \cos 80^{0}

\mathbf{B}=\cos 6^{0} \cos 42^{0} \cos 66^{0} \cos 78^{0}

\mathbf{C}=\cos \mathbf{3} \mathbf{6}^{\mathbf{0}} \cos \mathbf{7} \mathbf{2}^{\mathbf{0}} \cos \mathbf{1 0} \mathbf{8}^{\mathbf{0}} \cos \mathbf{1} \mathbf{4} \mathbf{4}^{\mathbf{0}}

Q4MathsUnit 14: Trigonometry

The measures of the angles of a triangle are in the ratio

4: 5: 9 .

The triangle is:

Q5MathsUnit 14: Trigonometry

\ln \Delta A B C, B C=A B

and

\angle B=80^{\circ}

Then

\angle A

is equal to

Q6MathsUnit 14: Trigonometry

Two line segments

A B

and

A C

include an angle of

60^{0}

where

A B=5 \mathrm{cm}

and

A C

=7 \mathrm{cm} .

Locate points

\mathrm{P}

and

\mathrm{Q}

\mathrm{AB}

and

A C,

respectively such that

A P=\frac{3}{4}

A B

and

A Q=\frac{1}{4} A C .

Join

P

and

Q

and measure the length PQ.

Q7MathsUnit 14: Trigonometry

Statement I: The equation

\left(\sin ^{-1} x\right)^{3}+\left(\cos ^{-1} x\right)^{3}-a \pi^{3}=0

has solution for all

a \geqslant \frac{1}{32}

Statement II : For any

\boldsymbol{x} \boldsymbol{\epsilon} \boldsymbol{R}, \boldsymbol{s} \boldsymbol{i n}^{-1} \boldsymbol{x}+

\cos ^{-1} x=\frac{\pi}{2}

and

0 \leq\left(\sin ^{-1} x-\frac{\pi}{4}\right)^{2} \leq

\frac{9 \pi^{2}}{16}

Q8MathsUnit 14: Trigonometry

The terminal arm is in II quadrant, what are the measures of possible angles?

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Frequently asked questions

What type of Trigonometry MCQs appear in JEE?

JEE Main tests Trigonometry through conceptual and numerical MCQs. Goodmarks mirrors this format with four-option questions and detailed solutions.

How many MCQs should I solve for Trigonometry?

Aim for at least 50–100 MCQs per subtopic. Goodmarks has 38+ questions for Trigonometry to build speed and accuracy.

Are solutions provided for every MCQ?

Yes. Each MCQ shows the correct option, final answer, and a step-by-step explanation after you submit.

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