Trigonometric functions and graphs

Can you sketch this tricky trig function?

Explore the properties of combinations of trig functions in this open investigation.

Can you find the sum of the squared sine values?

Which is larger cos(sin x) or sin(cos x) ? Does this depend on x ?

Two problems about infinite processes where smaller and smaller steps are taken and you have to discover what happens in the limit.

Sketch the graphs of y = sin x and y = tan x and some straight lines. Prove some inequalities.