Explore the properties of combinations of trig functions in this open investigation.
Look at the advanced way of viewing sin and cos through their power series.
Build up the concept of the Taylor series
Looking at small values of functions. Motivating the existence of
the Taylor expansion.
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.
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
Can you work out the equations of the trig graphs I used to make my pattern?
What does Pythagoras' Theorem tell you about these angles: 90°, (45+x)° and (45-x)° in a triangle?
The family of graphs of x^n + y^n =1 (for even n) includes the
circle. Why do the graphs look more and more square as n increases?
Draw graphs of the sine and modulus functions and explain the