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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 46+ JEE-style MCQs mapped to the official syllabus, each with detailed explanations so you learn from every attempt.

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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

If value of

\mathbf{x}

which satisfy equation

\left(\cot ^{-1} x\right)^{2}-3\left(\cot ^{-1} x\right)+2>0

x<

\cot a

x>\cot b

Find the value of

a+b

Q6MathsUnit 14: Trigonometry

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

and

\angle B=80^{\circ}

Then

\angle A

is equal to

Q7MathsUnit 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.

Q8MathsUnit 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}

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Frequently asked questions

How do I practice Trigonometry online for JEE?

Open this page, attempt the free sample MCQs, then sign up on Goodmarks to access the full Trigonometry question bank with topic filters and detailed explanations.

How many Trigonometry questions are available?

Goodmarks currently has 46+ 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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