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.
All these graphs have the same maximum and minimum values. What are these? Want does this tell use about the equations of the graphs?
What effect does changing the constant $a$ have on the graph $y=\sin(ax)$?