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A-levelTrigonometry

Advanced trigonometry

Compound angles, small angles, harmonic form, proof, and modelling.

4 lessons34 worksheets49 questions

Lessons

These free MathLab Learn guides are arranged in the order they are most useful for this stage.

  1. 01Compound angle and double angle formulae
  2. 02Small-angle approximations for sine, cosine and tangent
  3. 03Harmonic form: writing a cos x + b sin x as R cos(x minus alpha)
  4. 04Trigonometric proof and periodic modelling

Practise

Practice moves from direct fluency towards application, reasoning and synthesis.

  1. Intro

    Trigonometric curves, periods and inverse graphs

    Step 1 · 9 worksheets · 10 questions

  2. Practice

    Sine and cosine equations

    Step 2 · 5 worksheets · 5 questions

  3. Practice

    Tangent graphs, transformations and equations

    Step 3 · 6 worksheets · 6 questions

  4. Practice

    Transformed trigonometric curves and modelling

    Step 4 · 6 worksheets · 16 questions

  5. PracticeChallenge

    Geometric line tangency problems

    Step 5 · 3 worksheets · 3 questions

  6. Challenge

    Trigonometric proof and synthesis

    Step 6 · 5 worksheets · 9 questions

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