The Unit Circle - Yr 10+. Motivation of the unit circle, Pythagorean identity, some other identites, basic examples, pencil and paper measurement activity.
Sine Rule - Yr 10+ (or very strong yr 9). Knowledge of trig ratios, standard triangles required. Motivation, proof.
Cos Rule - Yr 10+. Knowledge of trig ratios, Pythagoras' Theorem. Motivation via Pythagoras, proof.
Double Angle Formulae - Yr 11+. Knowledge of trig ratios, Pythagoras' Theorem, cos rule, the unit circle, even and odd functions. Motivation and proofs.
Half Angle Formulae - Yr 11+. Skeleton outline of half angle formulae proofs and application. NEEDS CLEANUP!
Another proof: sine of a sum - Yr 11+.
Prosthaphaeresis formulas - Yr 11+. (Don't need to know these - outside of the curriculum - but useful practice in working with trig functions and identities)
Perimeter - Yr 9+. Knowledge of sin function. NOTE - please add right angle onto diagram for clarity, and/or indicate that the placement of point D creates an altitude!
Sine rule puzzle - Yr 10+. Knowledge of sine rule, Pythagorean identity.
Law of Cosines application - Yr 10+. Knowledge of simultaneous equations.
Tricky trig equation - Yr 10+. Knowledge of the Pythagorean identity.
Tricky parallelogram puzzle - Yr 10+. Knowledge of cos rule. NOTE - needs slight cleanup.
Area of hexagon - Yr 10+. Knowledge of sine area formula, triangle congruence.
Difference of squares - Yr 10+. Knowledge of tan, sec and relevant identities.
Tricky rectangle - Yr 11+. Knowledge of double angle formula for tan. NOTE - very messy, clean it up!
Logarithm puzzle - Yr 11+. Knowledge of logs, general trig solutions. CLEANUP NEEDED!
Trig inequality - Yr 11+. Graphing trig functions, odd and even functions.
Applying the Double Angle Formula to prove another identity - Yr 11+
Simultaneous trig equations - Yr 11+. Knowledge of unit circle and graphing trig equations.
How many x-intercepts does this function have? - Yr 11+. Knowledge of general solution of trig equations.
Functional equation involving trig - Yr 11+. Knowledge of sec function.
Trig identities problem - Yr 11+. Algebra!
Variety of fairly challenging trig identity problems - Yr 11+.Return to main page