Skip to main content
Super TutorResources
Chapter 3 of 18
Flashcards

Ch 03 -Trigonometric Functions — Flashcards

ICSE · Class 11 · Mathematics

36 flashcards for Ch 03 -Trigonometric Functions (ICSE Class 11 Mathematics) to test yourself on key terms and facts.

103 questions36 flashcards15 formulas & key relations5 concepts

Interactive on Super Tutor

Studying Ch 03 -Trigonometric Functions? Get the full interactive chapter.

Quizzes, flashcards, AI doubt-solver and a step-by-step study plan — built for flashcards and more.

Try Super Tutor — Free

Free trial, no card needed.

A diagram illustrating the definition of an angle as a measure of rotation, showing the initial side, terminal side, and vertex. It clearly distinguishes between positive (anti-clockwise) and negative
Super Tutor

One of 10 illustrations for Ch 03 -Trigonometric Functions in Super Tutor — alongside flashcards, concept maps and practice questions.

36 Flashcards·
Angle measurementArc lengthSector areaClock angles
Card 1Angle measurement

Solve: Convert 60° into radians.

Answer

Step 1: Use the degree-radian relation: 180° = π radian. Step 2: 1° = π/180 rad. Step 3: 60° = 60 × π/180 = π/3 rad. Answer: π/3 radian.

Card 2Angle measurement

Solve: Convert π/6 radian into degrees.

Answer

Step 1: Use 1 rad = (180/π)°. Step 2: (π/6) × (180/π) = 180/6 = 30°. Answer: 30°.

Card 3Arc length

Solve: Find the length of an arc of radius 5 cm that subtends 15° at the centre.

Answer

Step 1: Arc length formula: l = rθ, and θ must be in radians. Step 2: 15° = 15 × π/180 = π/12 rad. Step 3: l = 5 × (π/12) = 5π/12 cm. Answer: 5π/12 cm.

Card 4Sector area

Solve: Find the area of a sector of radius 10 cm that subtends 45° at the centre.

Answer

Step 1: Sector area formula: A = (1/2)r²θ, with θ in radians. Step 2: 45° = π/4 rad. Step 3: A = (1/2) × 10² × (π/4) = 50 × (π/4) = 25π/2 cm². Answer: 25π/2 cm².

Card 5Arc length

Solve: If l = 11 cm and r = 25 cm, find the angle in radians.

Answer

Step 1: Use l = rθ. Step 2: θ = l/r = 11/25 rad. Answer: 11/25 radian.

Card 6Arc length

Solve: If a central angle of 60° intercepts an arc of length 37.4 cm, find the radius.

Answer

Step 1: Convert 60° to radians: 60° = π/3. Step 2: Use l = rθ. Step 3: r = l/θ = 37.4 ÷ (π/3) = 37.4 × 3/π. Step 4: Taking π = 22/7, r = 37.4 × 3 × 7 / 22 = 35.7 cm. Answer: 35.7 cm.

Card 7Clock angles

Solve: Find the angle between the hour and minute hands at 3:30 a.m.

Answer

Step 1: Hour hand in 3.5 hours moves 3.5 × 30° = 105°. Step 2: Minute hand in 30 minutes moves 30 × 6° = 180°. Step 3: Angle between them = 180° - 105° = 75°. Answer: 75°.

Card 8Clock angles

Solve: Find the angle between the hour and minute hands at 6:40 p.m.

Answer

Step 1: Hour hand in 6 hours 40 minutes moves (20/3) × 30° = 200°. Step 2: Minute hand in 40 minutes moves 40 × 6° = 240°. Step 3: Angle between them = 240° - 200° = 40°. Answer: 40°.

+28 more flashcards

Practise All

Frequently Asked Questions

What are the important topics in Ch 03 -Trigonometric Functions for ICSE Class 11 Mathematics?
Key topics in Ch 03 -Trigonometric Functions include Angles, Degree, and Radian, Trigonometric Functions on the Unit Circle, Trigonometric Identities and Allied Angles, Sum, Difference, and Compound-Angle Formulas. Study these first, then practise questions on each for Class 11 exams.
How many flashcards are available for Ch 03 -Trigonometric Functions?
There are 36 flashcards for Ch 03 -Trigonometric Functions covering key definitions, facts and ideas. A few sample cards are shown on this page.
How should I revise Ch 03 -Trigonometric Functions for Class 11 exams?
Learn the core ideas first, then work through the 103 practice questions on Ch 03 -Trigonometric Functions. Revise definitions regularly and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

More resources for Ch 03 -Trigonometric Functions

All ICSE Class 11 Mathematics Flashcards

For serious students

Get the full Ch 03 -Trigonometric Functions chapter — start free.

Quizzes, flashcards, an AI doubt solver and a study plan for ICSE Class 11 Mathematics. Free to start, no card needed.

Try Super Tutor Free
Try this chapter free