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Revision Notes

Trigonometric Functions — Revision Notes

Telangana Open School (TOSS) · Class 12 · Mathematics

Trigonometric Functions revision notes for Telangana Open School (TOSS) Class 12 Mathematics: 4 topics in quick points.

52 questions40 flashcards16 formulas & key relations5 concepts

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Key Topics to Revise

1

Angles and Radian Measure

  • An angle is formed by rotating a ray about its endpoint.
  • Positive angles are measured in the anticlockwise direction; negative angles in the clockwise direction.
  • One complete revolution equals 360° or 2π radians.
2

Trigonometric Functions and Identities

  • On the unit circle, for any angle θ, sinθ = y-coordinate, cosθ = x-coordinate.
  • tanθ = sinθ/cosθ, defined when cosθ ≠ 0.
  • Signs of trigonometric functions in different quadrants: All positive in I, sin positive in II, tan positive in III, cos positive in IV.
3

Addition and Subtraction Formulas

  • Formulas allow computation of trigonometric functions of sum or difference of angles.
  • These are crucial for deriving multiple angle formulas and solving complex equations.
  • The cosine addition formula is derived geometrically using triangle congruence.
4

Multiple and Submultiple Angles

  • Double angle formulas are special cases of addition formulas with B = A.
  • Triple angle formulas can be derived using addition formulas repeatedly.
  • Half-angle formulas are derived from double angle identities by substitution.

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Full Notes

Key Concepts

A radian is the angle subtendedFor any real number \(\theta\)These formulas express trigonometric functionsFormulas like \(\sin 2A = 2\sinUnlike algebraic equations

Frequently Asked Questions

What are the important topics in Trigonometric Functions for Telangana Open School (TOSS) Class 12 Mathematics?
Key topics in Trigonometric Functions include Angles and Radian Measure, Trigonometric Functions and Identities, Addition and Subtraction Formulas, Multiple and Submultiple Angles. Study these first, then practise questions on each for the Telangana Open School (TOSS) Class 12 board exam.
How should I revise Trigonometric Functions for the Telangana Open School (TOSS) Class 12 board exam?
Learn the core ideas first, then work through the 52 practice questions on 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 Trigonometric Functions

All Telangana Open School (TOSS) Class 12 Mathematics Revision Notes

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