Mathematics · JEE

Trigonometrical identities and trigonometrical functions Previous Year Questions for JEE

32+ syllabus-aligned questions available

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Syllabus context

Part of Trigonometry in JEE Main Mathematics.

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Q1MathsUnit 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}}

Q2MathsUnit 14: Trigonometry

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

4: 5: 9 .

The triangle is:

Q3MathsUnit 14: Trigonometry

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

and

\angle B=80^{\circ}

Then

\angle A

is equal to

Q4MathsUnit 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.

Q5MathsUnit 14: Trigonometry

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

Q6MathsUnit 14: Trigonometry

\tan \theta=\frac{x \sin \phi}{1-x \cos \phi}, \tan \phi=

\frac{y \sin \theta}{1-y \cos \theta},

then

\frac{x}{y}=

Q7MathsUnit 14: Trigonometry

\sqrt{\frac{1-\sin A}{1+\sin A}}+\frac{\sin A}{\cos A}=\frac{1}{\cos A},

for all permissible values of

A,

then

A

belongs to This question has multiple correct options

Q8MathsUnit 14: Trigonometry

If two triangles are

_{--}-

they are similar.

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Frequently asked questions

Why practise PYQs for Trigonometrical identities and trigonometrical functions?

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 Trigonometrical identities and trigonometrical functions, 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.

Are PYQ solutions step-by-step?

Yes. Every question includes the correct answer and a detailed explanation showing the reasoning.