problem

### Trig reps

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

problem
###
Trig reps

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

problem
###
Taking trigonometry series-ly

Favourite

Look at the advanced way of viewing sin and cos through their power series.

problem
###
What do functions do for tiny x?

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

problem
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Towards Maclaurin

Build series for the sine and cosine functions by adding one term
at a time, alternately making the approximation too big then too
small but getting ever closer.