Mathematics · JEE

Important Questions: Trigonometrical identities and trigonometrical functions for JEE

32+ syllabus-aligned questions available

Quick answer

The most important Trigonometrical identities and trigonometrical functions questions for JEE cover conceptual traps, standard results, and numerical patterns from Trigonometrical identities and trigonometrical functions. Goodmarks provides 32+ high-yield MCQs with full solutions.

Focus on what matters most. These important Trigonometrical identities and trigonometrical functions questions cover high-weightage concepts from Trigonometrical identities and trigonometrical functions — the topics JEE repeats every year.

Syllabus context

Part of Trigonometry in JEE Main Mathematics.

Free sample questions

Attempt 8 free MCQs for Trigonometrical identities and trigonometrical functions. Unlock 24+ more with Pro.

Unlock full bank

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.

Want unlimited Trigonometrical identities and trigonometrical functions practice?

Pro unlocks the full question bank, topic filters, and attempt history.

Get started free View Pro plans

Frequently asked questions

What makes a Trigonometrical identities and trigonometrical functions question "important" for JEE?

Important questions test core concepts that appear frequently across JEE Main and Advanced papers — definitions, standard formulas, and classic problem types.

Which subtopics in Trigonometry are high-weightage?

Key areas include Trigonometrical identities and trigonometrical functions. Prioritise these before moving to edge cases.

How many important questions should I revise?

Revise 30–50 important MCQs per unit in the last month before JEE. Focus on questions you got wrong at least once.

Can I practise only important questions on Goodmarks?

Pro users can filter by unit and subtopic to target high-yield areas. Free users can attempt sample questions on this page.