Trigonometric identities

problem
T for tan

Age

16 to 18

Challenge level

Can you find a way to prove the trig identities using a diagram?
problem
Trig reps

Age

16 to 18

Challenge level

Can you deduce the familiar properties of the sine and cosine functions starting from these three different mathematical representations?
problem
Loch Ness

Age

16 to 18

Challenge level

Draw graphs of the sine and modulus functions and explain the humps.
problem
Polar flower

Age

16 to 18

Challenge level

This polar equation is a quadratic. Plot the graph given by each factor to draw the flower.