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Mathematics
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Mathematics
> Trigonometric Functions
Resources
Graphs of circular (trig) functions
A graphical illustration of the relationship between the sine and cosine functions and the unit circle.
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 (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.
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.
Sine, Cosine and Tangent of an Angle (unit circle applet))
Easy to use visual demonstration of the trig ratios (degrees and radians) leading to clear graphs
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 function modelling exercises (challenging)
A demonstration of modelling applications of the sine curve with notes, an animation, three worked examples and links to exercises.
Trig functions & identities (graphics)
A synopsis with examples of the six trigonometric functions.
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.