sin θ

Chapter 3 · Class XI Mathematics · MCQ Practice

MCQ Practice Arena

Trigonometric Functions

The Highest-Yield Chapter — 35 Identities, Zero Excuses

📋 50 MCQs ⭐ 0 PYQs ⏱ 45 sec/Q

🚀 Start Practising 📖 Revise Notes First

MCQ Bank Snapshot

50Total MCQs

35Easy

10Medium

5Hard

0PYQs

45 secAvg Time/Q

4Topics

Easy 70% Medium 20% Hard 10%

Why Practise These MCQs?

JEE MainJEE AdvancedCBSEBITSATKVPY

This micro-bank of 50 MCQs focuses on NCERT-level trigonometric values, allied angles and basic identities — ideal for warm-up, speed drills, and error analytics before full -length JEE practice.

Topic-wise MCQ Breakdown

Values at Standard Angles22 Q

Allied Angles & Signs12 Q

Basic Identities10 Q

Simple Applications6 Q

Must-Know Formulae Before You Start

Recall these cold before attempting MCQs — they appear in >70% of questions.

$sin²θ+cos²θ=1$

$sin(A±B)=sinA cosB ± cosA sinB$

$cos 2A = 1−2sin²A = 2cos²A−1$

$sin C+sin D = 2sin((C+D)/2)cos((C−D)/2)$

$tan(A+B) = (tanA+tanB)/(1−tanA·tanB)$

MCQ Solving Strategy

Never enter a trig MCQ without knowing which quadrant you are in — signs kill marks. For identity-based MCQs, reduce everything to sin and cos first. For equation MCQs, always write the general solution and then check which values fall in the given interval. Time-box trig MCQs at 90 seconds maximum.

⚠ Common Traps & Errors

⚠Sign errors in compound angle formulas
⚠Forgetting period of tan is π not 2π
⚠General solution of sinθ=sinα is nπ+(−1)ⁿα not just α
⚠cos 2A has three forms — pick the one that simplifies fastest

Difficulty Ladder

Work through each rung in order — do not jump to Hard before mastering Easy.

① Easy

Standard angle values, unit circle quadrant signs, Pythagorean identity proofs

② Medium

Compound/double angle evaluation, graph reading, allied angle MCQs

③ Hard

Equation general solutions, multi-identity chains, KVPY conceptual

★ PYQ

JEE Main — 4–5 identity + equation MCQs; BITSAT — speed round

Continue Your Preparation

📖 Chapter Notes Revise concepts & theory 🧠 MCQ Practice Topic-wise Questions 🎯 PYQ Bank Previous year questions ✔️❌ True / False Concept-based True & False questions 📘✔️ Exercises Step by step Solutions to textbook exercises ➡ Next Chapter Mathematical Induction MCQs

🎯 Knowledge Check

Maths — TRIGONOMETRIC FUNCTIONS

50 Questions Class 11 MCQs

The value of $ \sin 0^\circ $ is:
(NCERT–Basic)

a a. $0$ b b. $1$ c c. $-1$ d d. $1/2$

The value of $ \cos 0^\circ $ is:
(NCERT–Basic)

a a. $0$ b b. $1$ c c. $-1$ d d. $1/2$

The value of $ \tan 45^\circ $ is:
(NCERT–Basic)

a a. $0$ b b. $1$ c c. $ \sqrt{3} $ d d. $ 1/\sqrt{3} $

The value of $ \sin 30^\circ $ is:
(NCERT–Basic)

a a. $1$ b b. $1/2$ c c. $ \sqrt{3}/2 $ d d. $0$

The value of $ \cos 60^\circ $ is:
(NCERT–Basic)

a a. $1/2$ b b. $ \sqrt{3}/2 $ c c. $0$ d d. $1$

The value of $ \sin 90^\circ $ is:
(NCERT–Basic)

a a. $0$ b b. $1/2$ c c. $1$ d d. $-1$

The value of $ \cos 90^\circ $ is:
(NCERT–Basic)

a a. $0$ b b. $1$ c c. $-1$ d d. $1/2$

The value of $ \tan 30^\circ $ is:
(NCERT–Basic)

a a. $1/\sqrt{3}$ b b. $ \sqrt{3} $ c c. $1$ d d. $0$

The value of $ \tan 60^\circ $ is:
(NCERT–Basic)

a a. $1$ b b. $1/\sqrt{3}$ c c. $ \sqrt{3} $ d d. $0$

The value of $ \sin 45^\circ $ is:
(NCERT–Basic)

a a. $1/2$ b b. $ \sqrt{2}/2 $ c c. $ \sqrt{3}/2 $ d d. $1$

The value of $ \cos 45^\circ $ is:
(NCERT–Basic)

a a. $1/2$ b b. $ \sqrt{3}/2 $ c c. $ \sqrt{2}/2 $ d d. $1$

The value of $ \sin(180^\circ - \theta) $ is:
(NCERT–Conceptual)

a a. $ \sin \theta $ b b. $-\sin \theta$ c c. $ \cos \theta $ d d. $-\cos \theta$

The value of $ \cos(180^\circ - \theta) $ is:
(NCERT–Conceptual)

a a. $ \cos \theta $ b b. $-\cos \theta$ c c. $ \sin \theta $ d d. $-\sin \theta$

The value of $ \sin(90^\circ - \theta) $ is:
(NCERT–Conceptual)

a a. $ \sin \theta $ b b. $ \cos \theta $ c c. $-\cos \theta$ d d. $-\sin \theta$

The value of $ \cos(90^\circ - \theta) $ is:
(NCERT–Conceptual)

a a. $ \sin \theta $ b b. $-\sin \theta$ c c. $ \cos \theta $ d d. $-\cos \theta$

The value of $ \tan(90^\circ - \theta) $ is:
(NCERT–Conceptual)

a a. $ \tan \theta $ b b. $ \cot \theta $ c c. $ \sec \theta $ d d. $ \csc \theta $

The value of $ \sin 270^\circ $ is:
(NCERT–Conceptual)

a a. $1$ b b. $-1$ c c. $0$ d d. $1/2$

The value of $ \cos 270^\circ $ is:
(NCERT–Conceptual)

a a. $0$ b b. $1$ c c. $-1$ d d. $1/2$

The value of $ \tan 180^\circ $ is:
(NCERT–Conceptual)

a a. $0$ b b. $1$ c c. $-1$ d d. Not defined

The value of $ \sin(-\theta) $ is:
(NCERT–Conceptual)

a a. $ \sin \theta $ b b. $-\sin \theta$ c c. $ \cos \theta $ d d. $-\cos \theta$

The value of $ \cos(-\theta) $ is:
(NCERT–Conceptual)

a a. $-\cos \theta$ b b. $ \cos \theta $ c c. $ \sin \theta $ d d. $-\sin \theta$

The value of $ \tan(-\theta) $ is:
(NCERT–Conceptual)

a a. $ \tan \theta $ b b. $-\tan \theta$ c c. $ \cot \theta $ d d. $-\cot \theta$

The value of $ \sin 150^\circ $ is:
(NCERT–Standard)

a a. $1/2$ b b. $-1/2$ c c. $ \sqrt{3}/2 $ d d. $-\sqrt{3}/2$

The value of $ \cos 150^\circ $ is:
(NCERT–Standard)

a a. $ \sqrt{3}/2 $ b b. $-\sqrt{3}/2$ c c. $1/2$ d d. $-1/2$

The value of $ \tan 150^\circ $ is:
(NCERT–Standard)

a a. $1/\sqrt{3}$ b b. $-1/\sqrt{3}$ c c. $ \sqrt{3} $ d d. $-\sqrt{3}$

If $ \sin \theta = 3/5 $ and $ \theta $ is acute, then $ \cos \theta $ equals:
(NCERT–Application)

a a. $4/5$ b b. $-4/5$ c c. $3/4$ d d. $5/4$

If $ \cos \theta = 12/13 $, then $ \sin \theta $ equals:
(NCERT–Application)

a a. $5/13$ b b. $-5/13$ c c. $12/13$ d d. $13/12$

The value of $ \sin^2 30^\circ + \cos^2 30^\circ $ is:
(NCERT–Identity)

a a. $0$ b b. $1/2$ c c. $1$ d d. $2$

The value of $ \tan \theta \cdot \cot \theta $ is:
(NCERT–Identity)

a a. $0$ b b. $1$ c c. $-1$ d d. $2$

The value of $ \sin 210^\circ $ is:
(NCERT–Advanced)

a a. $1/2$ b b. $-1/2$ c c. $ \sqrt{3}/2 $ d d. $-\sqrt{3}/2$

The value of $ \cos 210^\circ $ is:
(NCERT–Advanced)

a a. $ \sqrt{3}/2 $ b b. $-\sqrt{3}/2$ c c. $1/2$ d d. $-1/2$

The value of $ \tan 210^\circ $ is:
(NCERT–Advanced)

a a. $1/\sqrt{3}$ b b. $-1/\sqrt{3}$ c c. $ \sqrt{3} $ d d. $-\sqrt{3}$

The value of $ \sin(360^\circ - \theta) $ is:
(NCERT–Advanced)

a a. $ \sin \theta $ b b. $-\sin \theta$ c c. $ \cos \theta $ d d. $-\cos \theta$

The value of $ \cos(360^\circ - \theta) $ is:
(NCERT–Advanced)

a a. $ \cos \theta $ b b. $-\cos \theta$ c c. $ \sin \theta $ d d. $-\sin \theta$

The value of $ \tan(360^\circ - \theta) $ is:
(NCERT–Advanced)

a a. $ \tan \theta $ b b. $-\tan \theta$ c c. $ \cot \theta $ d d. $-\cot \theta$

The value of $ \sin 300^\circ $ is:
(NCERT–Advanced)

a a. $ \sqrt{3}/2 $ b b. $-\sqrt{3}/2$ c c. $1/2$ d d. $-1/2$

The value of $ \cos 300^\circ $ is:
(NCERT–Advanced)

a a. $1/2$ b b. $-1/2$ c c. $ \sqrt{3}/2 $ d d. $-\sqrt{3}/2$

The value of $ \tan 300^\circ $ is:
(NCERT–Advanced)

a a. $ \sqrt{3} $ b b. $-\sqrt{3}$ c c. $1/\sqrt{3}$ d d. $-1/\sqrt{3}$

The value of $ \sin 225^\circ $ is:
(NCERT–Advanced)

a a. $ \sqrt{2}/2 $ b b. $-\sqrt{2}/2$ c c. $1/2$ d d. $-1/2$

The value of $ \cos 225^\circ $ is:
(NCERT–Advanced)

a a. $ \sqrt{2}/2 $ b b. $-\sqrt{2}/2$ c c. $1/2$ d d. $-1/2$

The value of $ \tan 225^\circ $ is:
(NCERT–Advanced)

a a. $1$ b b. $-1$ c c. $ \sqrt{3} $ d d. $-\sqrt{3}$

The value of $ \sin^2 45^\circ $ is:
(NCERT–Standard)

a a. $1/4$ b b. $1/2$ c c. $3/4$ d d. $1$

The value of $ \cos^2 60^\circ $ is:
(NCERT–Standard)

a a. $1/4$ b b. $1/2$ c c. $3/4$ d d. $1$

The value of $ \sin 0^\circ \cdot \cos 90^\circ $ is:
(NCERT–Standard)

a a. $1$ b b. $-1$ c c. $0$ d d. $1/2$

The value of $ \tan 45^\circ + \cot 45^\circ $ is:
(NCERT–Standard)

a a. $0$ b b. $1$ c c. $2$ d d. $-2$

The value of $ \sin 90^\circ \cdot \cos 0^\circ $ is:
(NCERT–Standard)

a a. $0$ b b. $1$ c c. $-1$ d d. $1/2$

The value of $ \sin 120^\circ $ is:
(NCERT–Advanced)

a a. $ \sqrt{3}/2 $ b b. $-\sqrt{3}/2$ c c. $1/2$ d d. $-1/2$

The value of $ \cos 120^\circ $ is:
(NCERT–Advanced)

a a. $1/2$ b b. $-1/2$ c c. $ \sqrt{3}/2 $ d d. $-\sqrt{3}/2$

The value of $ \tan 120^\circ $ is:
(NCERT–Advanced)

a a. $ \sqrt{3} $ b b. $-\sqrt{3}$ c c. $1/\sqrt{3}$ d d. $-1/\sqrt{3}$

The value of $ \sin 360^\circ $ is:
(NCERT–Advanced)

a a. $1$ b b. $-1$ c c. $0$ d d. $1/2$

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Class 11 Trigonometric Functions MCQs (50 Questions) – NCERT Chapter 3 Practice Set

Class 11 Trigonometric Functions MCQs (50 Questions) – NCERT Chapter 3 Practice Set — Complete Notes & Solutions · academia-aeternum.com

Trigonometric Functions form a foundational pillar of Class XI Mathematics and act as a gateway to advanced topics in calculus, coordinate geometry, physics, and engineering mathematics. This carefully designed set of 50 Multiple Choice Questions is strictly aligned with NCERT Class XI Mathematics Chapter 3 – Trigonometric Functions, ensuring conceptual clarity, logical progression, and examination relevance. The questions begin with fundamental angle values and standard trigonometric ratios,…

🎓 Class 11 📐 Mathematics 📖 NCERT ✅ Free Access 🏆 CBSE · JEE

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Trigonometric Functions

MCQ Bank Snapshot

Why Practise These MCQs?

Topic-wise MCQ Breakdown

Must-Know Formulae Before You Start

MCQ Solving Strategy

⚠ Common Traps & Errors

Difficulty Ladder

Continue Your Preparation

Maths — TRIGONOMETRIC FUNCTIONS

Frequently Asked Questions

Recent Posts

TRIGONOMETRIC FUNCTIONS — Learning Resources

Let's Connect

Trigonometric Functions

MCQ Bank Snapshot

Why Practise These MCQs?

Topic-wise MCQ Breakdown

Must-Know Formulae Before You Start

MCQ Solving Strategy

⚠ Common Traps & Errors

Difficulty Ladder

Continue Your Preparation

Maths — TRIGONOMETRIC FUNCTIONS

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