Trigonometric functions and graphs

Can you find the sum of the squared sine values?

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

Looking at small values of functions. Motivating the existence of the Maclaurin expansion.

Can you sketch this tricky trig function?

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