Chapter 5 – 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)

Chapter 6 – Differentiating Trigonometric Functions

When students have completed this lesson they should be able to:

• 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