Mathematics · JEE

Important Questions: Trigonometrical identities and trigonometrical functions for JEE

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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 27+ high-yield MCQs with full solutions.

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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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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.

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

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