Section 5 - Circular functions
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Success Criteria
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VCAA Questions
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Review of the unit circle:
- To be able to convert between radians and degrees.
- To be able to recall the construction of the unit circle.
- To be able to define sin, cos and tan using the unit circle.
- To be able to remember exact value of sin, cos and tan.
- To be able to remember and apply symmetry properties.
- To understand and apply the Pythagorean identity.
- To be able to determine the period and amplitude for graphs.
- To be able to sketch transformed graphs of sine and cosine.
- To be able to calculate axial intercepts for graphs of circular functions with CAS (and by-hand)
- To be able to sketch graphs of tangent functions.
- To be able to determine the equations of asymptotes for tangent graphs.
- To be able to sketch graphs of circular functions using the addition of ordinates method.
- To be able to determine the rule for the graphs of a circular function.
- To be able to solve trigonometric equations by-hand, using CAS and graphically.
- To be able to apply knowledge of exact values when solving trigonometric equations.
- To be able to find the general solution to a trigonometric equation.
- To able to apply knowledge of circular functions to practical situations.
- To understand that modelling involves imprecision.
- To be able to understand the real world interpretations of: axial intercepts, periods, amplitudes, maximums, minimums and inequalities.
Circular functions - Worksheet A
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Circular functions - Worksheet B
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Circular functions - Worksheet C
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Circular functions - Worksheet D
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Circular functions - Pretest A:
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