Mathematics · JEE

Trigonometrical identities and trigonometrical functions Concepts for JEE

28+ syllabus-aligned questions available

Quick answer

Master Trigonometrical identities and trigonometrical functions by understanding definitions, standard results, and typical JEE question patterns — then practise with syllabus-aligned MCQs on Goodmarks.

Build clear conceptual foundations for Trigonometrical identities and trigonometrical functions before speed practice. This guide covers what JEE expects and how to test yourself with MCQs.

Concept explainer

Trigonometrical identities and trigonometrical functions is a core JEE Main Mathematics subtopic under Trigonometry. Master the definitions, standard results, and typical MCQ patterns tested in JEE Main and Advanced.

Key points

Understand the definition and scope of Trigonometrical identities and trigonometrical functions in the JEE syllabus
Memorise key formulas and standard results linked to Trigonometrical identities and trigonometrical functions
Practise 20–40 syllabus-aligned MCQs with step-by-step solutions

JEE tips

Revise Trigonometrical identities and trigonometrical functions with a one-page formula sheet before attempting mixed tests
After each practice set, log mistakes specific to Trigonometrical identities and trigonometrical functions and reattempt after 48 hours

Common trap

Students often rush Trigonometrical identities and trigonometrical functions questions without checking units, sign conventions, or boundary conditions — always verify assumptions before calculating.

Syllabus context

Part of Trigonometry in JEE Main Mathematics.

Free sample questions

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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

\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

Q7MathsUnit 14: Trigonometry

What is the length of arc AB making angle of

126^{0}

at center of radius

8 ?

Q8MathsUnit 14: Trigonometry

An angle which is equal to

360^{\circ}

is called

_{\text {一一一一一一一 }}

angle.

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Frequently asked questions

What concepts in Trigonometrical identities and trigonometrical functions are essential for JEE?

Focus on core ideas across Trigonometrical identities and trigonometrical functions. JEE tests application, not just memorisation.