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Ch 03 -Trigonometric Functions

ICSE · Class 11 · Mathematics

Flashcards for Ch 03 -Trigonometric Functions — ICSE Class 11 Mathematics. Quick Q&A cards covering key concepts, definitions, and formulas.

103 questions36 flashcards5 concepts

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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
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36 Flashcards
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°.

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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 Complete Overview of Trigonometric Functions - Chapter 3, Trigonometric Functions - Concept Map, Trigonometric Functions - Complete Concept Map. These are the concepts ICSE Class 11 examiners draw on most — study them first, then practise related questions.
How to score full marks in Ch 03 -Trigonometric Functions — ICSE Class 11 Mathematics?
Understand the core concepts first, then work through the 103 practice questions available for this chapter. Revise formulas and definitions regularly, and use flashcards for quick recall before the exam.
How many flashcards are available for Ch 03 -Trigonometric Functions?
There are 36 flashcards for Ch 03 -Trigonometric Functions covering key definitions, formulas, and concepts. Use them daily for 10–15 minutes for best results.

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