Mathematics

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Tutorials

Derivatives of trigonometric functions
A page with links to a description of trigonometric limit, the derivative of sine and cosine.
Determination of limits
An interactive investigation of the limit of a function for various values of two parameters. (Java)
Trig functions & identities (graphics)
A synopsis with examples of the six trigonometric functions.

A set of HSC past papers and advice on the examination
Hints and answers from past exam papers (formerly '3 Unit') and past articles from Sydney Morning Herald advice to students.
Trig function modelling exercises (challenging)
A demonstration of modelling applications of the sine curve with notes, an animation, three worked examples and links to exercises.

a sin x + b cos x (applet using unit circle)
A visual demonstration of deriving an expression for a sin x + b cos x. (Java)
Models of the sine function (graphs & applications)
A demonstration of modelling applications of the sine curve with notes, an animation, three worked examples and links to exercises.
Sine box (applet using unit circle)
Interactive applet demonstrating the unit circle idea of sine.
Sine curve (applet using unit circle)
An animation demonstrating the graphing of the sine curve.
Trig application (tides)
An application of trigonometry with questions and possible incorporation of graphics calculators.
Trig identities (overview)
A synopsis of trigonometric formula