Mathematics · JEE

Trigonometry Previous Year Questions for JEE

38+ syllabus-aligned questions available

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Goodmarks offers 38+ JEE-style PYQs for Trigonometry with detailed solutions. While official past papers rotate yearly, our bank covers the same concepts, difficulty, and question formats tested in JEE Mathematics.

Previous year questions are the fastest way to understand how Trigonometry is tested in JEE. Practise 38+ exam-pattern MCQs modelled on JEE Main and Advanced, with full solutions for every question.

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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Why practise PYQs for Trigonometry?

PYQs reveal recurring concepts, common traps, and the difficulty level JEE expects. Solving them builds exam temperament and time management.

Does Goodmarks have actual JEE past papers?

Our bank includes exam-style MCQs aligned with JEE Main Mathematics syllabus for Trigonometry, covering the same topics as previous year papers.

How should I use PYQs for Trigonometry?

Solve timed sets, review every explanation, note weak subtopics, then revisit with focused practice on Goodmarks.

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