Maclaurin series

There are 6 NRICH Mathematical resources connected to Maclaurin series
Trig reps
problem

Trig reps

Age
16 to 18
Challenge level
filled star empty star empty star
Can you deduce the familiar properties of the sine and cosine functions starting from these three different mathematical representations?
Bessel's equation
problem

Bessel's equation

Age
16 to 18
Challenge level
filled star filled star filled star
Get further into power series using the fascinating Bessel's equation.
Taking trigonometry series-ly
problem
Favourite

Taking trigonometry series-ly

Age
16 to 18
Challenge level
filled star filled star empty star
Look at the advanced way of viewing sin and cos through their power series.
Towards Maclaurin
problem

Towards Maclaurin

Age
16 to 18
Challenge level
filled star filled star filled star
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.