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Class 11 Mathematics — Chapter 3: Trigonometric Functions

66 practice questions · 22 Easy · 22 Medium · 22 Hard

Practise Class 11 Mathematics Chapter 3, "Trigonometric Functions", with 66 NCERT-aligned multiple-choice questions. The set is split into 22 Easy, 22 Medium and 22 Hard questions, so you can warm up on the fundamentals and then push into the exam-level problems that separate top scorers in CBSE Board exams, JEE Main and JEE Advanced.

"Trigonometric Functions" is one of the chapters where problem-solving speed, formula recall and step-by-step reasoning really pays off. Each MCQ on this chapter is timed and uses exam-grade marking (+2 correct, −1 wrong, 0 skipped), training the same accuracy-under-pressure that real papers demand. Every question carries a short explanation, so a wrong answer becomes a quick lesson rather than a dead end — the fastest way to close gaps before a test.

Use this chapter as targeted revision: attempt the Easy set first to confirm your basics on Trigonometric Functions, then move to Medium and Hard to test application and problem-solving. Your accuracy, streaks and XP save automatically, and the chapter feeds into your overall Class 11 Mathematics mastery score. A few sample questions are shown below; sign in free to practise all 66.

Key concepts: Trigonometric Functions (Class 11 Mathematics)

This chapter extends trigonometry to any angle using radians, develops the trigonometric identities and compound-angle formulae, and solves trigonometric equations.

Radian measure
Angles measured in radians; π radians = 180°, and arc length l = rθ.
Signs in quadrants
The ASTC rule: All, Sine, Tangent, Cosine are positive in quadrants I, II, III, IV respectively.
Compound-angle formulae
sin(A±B), cos(A±B), tan(A±B), plus double- and half-angle and product-to-sum formulae.
General solutions
Trigonometric equations have infinitely many solutions, written using the general-solution formulae.
Identities
Built on the fundamental identity sin²θ + cos²θ = 1 and its variants.

Key formulas — Trigonometric Functions

Fundamental identity
sin²θ + cos²θ = 1
Compound angle
sin(A±B) = sinA cosB ± cosA sinB
General solution (sin)
sinθ = sinα ⇒ θ = nπ + (−1)ⁿα
Arc length
l = rθ (θ in radians)

💡 Exam tips for Trigonometric Functions

  • Use the ASTC rule to fix the sign before computing any trigonometric ratio.
  • Memorise the general-solution forms for sin, cos and tan — they're asked directly.

Sample questions

Q1Easy

sin 30° =

A.1/2✓ correct
B.√3/2
C.1
D.0
Why

Standard value.

Q2Medium

sin 2θ =

A.2 sinθ cosθ✓ correct
B.sin²θ + cos²θ
C.cos 2θ
D.sinθ cosθ
Why

Double-angle formula.

Q3Hard

sin(A+B) =

A.sinA cosB + cosA sinB✓ correct
B.sinA cosB − cosA sinB
C.cosA cosB + sinA sinB
D.sinA + sinB
Why

Angle addition formula.

Trigonometric Functions — FAQs

What are the key concepts in Class 11 Mathematics Trigonometric Functions?+

This chapter extends trigonometry to any angle using radians, develops the trigonometric identities and compound-angle formulae, and solves trigonometric equations. Key ideas include Radian measure, Signs in quadrants, Compound-angle formulae, General solutions, Identities.

What does Class 11 Mathematics Chapter 3 (Trigonometric Functions) cover on XamBaaz?+

It covers 66 NCERT-aligned MCQs on "Trigonometric Functions" — 22 Easy, 22 Medium and 22 Hard — each with a timed quiz and an instant explanation, suitable for CBSE Board exams, JEE Main and JEE Advanced.

Are these "Trigonometric Functions" questions free to practise?+

Yes — sign in with Google to practise "Trigonometric Functions" free. Full unlimited access is ₹999/year (limited-time launch price), with no per-chapter charges.

How should I revise "Trigonometric Functions" for the exam?+

Start with the Easy quiz to confirm your fundamentals, then attempt Medium and Hard for application-level practice. Review each explanation, retry the questions you miss, and track your accuracy on this chapter until it is consistently high.

Practise all 66 questions free

Timed quizzes, instant scoring, streaks and XP. Sign in with Google — no card needed.

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