The Unit Circle
Interactive T&L: The Unit Circle
Trigonometric graphs
Interactive T&L: Introduction to Trigonometric Functions
Interactive T&L: Trigonometric Functions
“Ferris wheel” on Student’s CD, London Eye
• The properties and uses of the unit circle
Alison.com
Khan
• Radian and degree metrics of the unit circle
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Comparing degrees to radians on the Unit Circle
Khan
Trigonometric functions of special angles
• The trigonometric ratios for angles in each of the four quadrants
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The Unit Circle – drawing sine and cosine
Khan
• Graphs of the trigonometric functions :sin ,cos , tan xxx
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Sketching and matching trigonometric functions
Graphing trigonometric functions. y = sinx - calculator work – in degrees
Khan
Features of trigonometric functions
Graphs of trigonometric functions
• The period and range of these trigonometric functions
Khan
Symmetry and periodicity of trigonometric functions
• That the inverse of these trigonometric functions is not a function for all values of x
Khan
Evaluating inverse trig functions
Understanding inverse trig functions
video Solution set to sin equation
video Restricting domain of trig function to make invertible
video Restricting domain of trig function to make invertible
• Graphs of trigonometric functions of the type a sin ( nθ ) , a cos( nθ ) for a n, ∈N
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Graphing trigonometric functions. y = 3sin2x - calculator work – in radians
Khan
Graphs of trigonometric functions
• The period and range of the above trigonometric functions and the effect of changing the values of a and n
Khan
Graphs of trigonometric functions
• Solutions of equations of the form sin θ = 0 and cos θ = ± 1/2 giving all solutions for specified values of θ
• Solutions to trigonometric equations such as sin nθ = 0 and cos nθ = ± 1/2 giving all solutions for specified values of θ
• Solutions of equations of the type a sin(bx)=1/2 , a cos(bx)=1/2 for the domain used in the graph
• Solve equations for example of the form 15 cos2 x = 13 + sin x for all values of 0° ≤ x ≤ 360°.
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Solving trigonometric equations
Khan
video Solution set to sin equation
Circles and Pythagorean identities
Manipulating trig expressions with pythagorean identities
Other
IXL - Fifth year maths practice
Mathsisfun Trigonometry