Cambridge A Level Mathematics: Pure 3 (9709 Paper 3)

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92 lessons

3.1 · Algebra

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3.2 · Logarithmic and exponential functions

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3.3 · Trigonometry

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The cosecant, secant and cotangent ratios

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Graphs of sec θ, cosec θ and cot θ

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The identities sec²θ = 1 + tan²θ and cosec²θ = 1 + cot²θ

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Solving equations with sec, cosec and cot

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Compound angle formulae: sin(A ± B) and cos(A ± B)

14m

Compound angle formulae: tan(A ± B)

12m

Double angle formulae

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Further trigonometric identities

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Expressing a sin θ + b cos θ in the form R sin(θ ± α) or R cos(θ ± α)

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Using the R form: greatest values and equations

13m

Trigonometry: practice

10m

Trigonometry: exam practice

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Trigonometry: summary

3.4 · Differentiation

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3.5 · Integration

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3.6 · Numerical solutions of equations

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3.1 · Further algebra

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3.4-3.5 · Further calculus

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3.3 · TrigonometryLesson 3 of 13

The identities sec²θ = 1 + tan²θ and cosec²θ = 1 + cot²θ

Divide sin²θ + cos²θ = 1 by cos²θ or by sin²θ, and two new identities appear.

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