Mathematics
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Tutorials
- A trigonometric limit
A synopsis with links to an important trigonometric limit. - All stations to Cowra (ASTC in quadrants)
A diagram showing the quadrants and the properties of the trigonometric functions. - Derivative of sine
A synopsis with an animated demonstration of the derivative of sine. (Applet) - Derivative of trigonometric functions
A graphical illustration of the limits of trigonometric functions with links to further discussion and drill questions. (Flash or Java) - Derivatives of trigonometric functions
A page with links to a description of trigonometric limit, the derivative of sine and cosine. - Graphs of trigonometric functions
A page with links to graphs of trigonometric functions. - Trig functions & identities (graphics)
A synopsis with examples of the six trigonometric functions. - Trigonometric functions
A page with links to trigonometric functions.
Assessment
- A set of HSC past papers & advice on the examination
Hints and answers from past exam papers (formerly '2 Unit'), and past articles from Sydney Morning Herald advice to students. - Derivative of trigonometric functions (mixed)
A 60 question quiz on differentiation with the score provided at the end. - Derivative using product rule (mixed)
A synopsis with examples and questions about the product rule. - Derivative using quotient rule (mixed)
A synopsis with examples and questions about the quotient rule. - Graphing exercises (Revision of Mathematics Course + harder examples for Extension 1)
A series of three questions with links to answers, and to harder questions. - 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.
Resources
- Graphs of circular (trig) functions
A graphical illustration of the relationship between the sine and cosine functions and the unit circle. - Differentiating trigonometric functions
Three examples (see 2b for tan: rename answer!) - 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. - Standard derivative of tan function & product/quotient practice
A synopsis of the derivation of the tangent function by using the sine and cosine functions with worked examples - Sum/difference/double angles
A synopsis of trigonometry with links to sum and difference of angle formula. - Tangent to sin 2x
A graphical illustration of finding the tangent of a trigonometric function by using the limit of secants. - Trig application (tides)
An application of trigonometry with questions and possible incorporation of graphics calculators. - Trigonometric graphs
A series of twelve graphs to represent the trigonometric functions and their inverse functions. - Trigonometric integration
A graphical illustration of the trigonometric function and a function of the area enclosed. - Turning point of trig function
A graphical determination of a local maxima for a trigonometric function. - Turning point of trig function (numerical determination)
A numerical determination of a local maxima through a table of values. - Unit circle idea of trig functions
A graphical illustration of sine and cosine using the unit circle. - Visual interpretation of tangent function
A graphical illustration of the tangent function using the unit circle.