Trigonometric functions and graphs

Can you work out which processes are represented by the graphs?

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

Can you sketch this tricky trig function?

10 graphs of experimental data are given. Can you use a spreadsheet to find algebraic graphs which match them closely, and thus discover the formulae most likely to govern the underlying processes?

Can you work out the equations of the trig graphs I used to make my pattern?

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

The sine of an angle is equal to the cosine of its complement. Can you explain why and does this rule extend beyond angles of 90 degrees?

Shows that Pythagoras for Spherical Triangles reduces to Pythagoras's Theorem in the plane when the triangles are small relative to the radius of the sphere.

Build up the concept of the Taylor series

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