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Unit 3 - Trigonometry
When students have completed this lesson they should be able to:
□ Know the definitions, properties and graphs of secant, cosecant and cotangent, including the associated Pythagorean identities
□ Know the addition and double angle formulae for sine, cosine and tangent, and be able to use these results for calculations, solving equations and proving identities
□ Know how to express asinΘ + bcos Θ in the forms of Rsin(Θ±α) and Rcos(Θ±α)
□ Be familiar with a number of inequalities and limits involving trigonometric functions, and their geometrical interpretations
□ Know the derivatives and indefinite integrals of sin x and cos x
□ Differentiate a variety of trigonometric functions using the chain rule
□ Integrate a variety of trigonometric functions, using identities where necessary