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Online Practice: Trigonometry for JEE

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Sharpen your mathematics preparation with interactive online practice for Trigonometry. Goodmarks offers 38+ JEE-style MCQs mapped to the official syllabus, each with detailed explanations so you learn from every attempt.

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

How do I practice Trigonometry online for JEE?

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How many Trigonometry questions are available?

Goodmarks currently has 38+ JEE-aligned MCQs for Trigonometry, with more added regularly.

Is this aligned with the JEE Main syllabus?

Yes. All Mathematics questions on Goodmarks are organised by official JEE Main units and subtopics, including Trigonometrical identities and trigonometrical functions, Inverse trigonometrical functions and their properties.

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