Trigonometry – Level-2

Trigonometry – ISC Topic Tree

  1. Angles and Arc Lengths
    • Measurement of angles (degrees, radians)
    • Relation between degree and radian
    • Arc length formula
  2. Trigonometric Functions
    • Definition of basic trigonometric ratios
    • Graphs of sine, cosine, and tangent
    • Periodicity and symmetry
    • Principal values
  3. Compound and Multiple Angles
    • Formulas for sin(A ± B), cos(A ± B), tan(A ± B)
    • Double angle and triple angle identities
    • Product-to-sum and sum-to-product formulas
  4. Trigonometric Equations
    • Solving basic trigonometric equations
    • General solutions and principal solutions
    • Equations involving multiple angles
  5. Properties of Triangle
    • Sine rule, Cosine rule, and Projection rule
    • Area of triangle using trigonometry
    • Napier’s analogy and other trigonometric identities in triangle

Doubt Clinic

Sketch Notes

Double angle, Half angle and Triple angle formulae

Power reducing angles

Double and triple angle identities

Power Reducing Identities

Videos

Quadrant Systems

Addition Problems

Allied angles

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