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Formula Sheet

Ch 03 -Trigonometric Functions — Formula Sheet

ICSE · Class 11 · Mathematics

15 formulas from Ch 03 -Trigonometric Functions (ICSE Class 11 Mathematics) on one page, grouped by topic. Part of the ICSE Class 11 Mathematics syllabus.

103 questions36 flashcards15 formulas & key relations5 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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15 Entries · 4 Sections

Formulas and Key Relations

Angles and Measurement

1 complete revolution = 360°

1° = 60′ and 1′ = 60″

180° = π radian

1° = π/180 rad and 1 rad = (180/π)°

Arc length l = rθ

Trigonometric Functions on the Unit Circle

sin x = y-coordinate of P(a,b)

cos x = x-coordinate of P(a,b)

tan x = sin x / cos x

cot x = cos x / sin x

sec x = 1 / cos x

Signs in Quadrants and Allied Angles

sin(-x) = -sin x

cos(-x) = cos x

sin(π/2 - x) = cos x

cos(π/2 - x) = sin x

Key relations

If a circle has radius r and central angle θ in radians, then arc length is l = rθ and sector area is A = (1/2)r²θ.

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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 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 formulas are in Ch 03 -Trigonometric Functions?
This sheet lists 15 formulas from Ch 03 -Trigonometric Functions, grouped by topic. Learn what each symbol stands for so you can apply the formula, not just recall it.
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.

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All ICSE Class 11 Mathematics Formula Sheet

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