Trigonometric Functions and Identities
Graphs of sine, cosine, and tangent; amplitude and period transformations; Pythagorean identity; compound and double angle formulas; and modelling periodic phenomena.
Active lessons
9
Status
Active
Lesson flow
Learn -> Guided Practice -> Independent Practice -> Mastery Quiz
Unit pathway
Lesson pathway
9 of 9 active
Lesson 1
Graphs of Sine, Cosine, and Tangent
Recognise the key features, periods, ranges, intercepts, and asymptotes of the basic sine, cosine, and tangent graphs.
Lesson 2
Amplitude, Period, Phase Shift, and Vertical Shift
Identify amplitude, period, phase shift, vertical shift, and midline from transformed sine, cosine, and tangent functions.
Lesson 3
Trigonometric Equations
Solve trigonometric equations over specified domains using exact values, unit-circle signs, symmetry, and periods.
Lesson 4
Trigonometric Identities and Simplification
Use core trigonometric identities to simplify expressions and choose useful rewriting strategies.
Lesson 5
Modelling Periodic Phenomena
Interpret amplitude, midline, period, maximum, minimum, and units in trigonometric models of periodic contexts.
Lesson 6
Mixed Trigonometric Functions Exam Practice
Practise mixed exam-style trigonometric questions involving exact values, graphs, equations, identities, and modelling.
Lesson 7
Compound Angle Formulas
Use compound angle identities for sine, cosine and tangent, with careful attention to signs and denominator restrictions.
Lesson 8
Exact Values with Compound Angles
Evaluate exact trigonometric values for non-standard angles by expressing them as sums or differences of known angles.
Lesson 9
Double Angle Formulas
Use sine, cosine and tangent double-angle identities, including equivalent cosine forms and denominator restrictions.