There are 16 NRICH Mathematical resources connected to Trigonometric functions and graphs, you may find related items under Coordinates, functions and graphs.
Broad Topics > Coordinates, functions and graphs > Trigonometric functions and graphs
Can you work out which processes are represented by the graphs?
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?
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 humps.
Explore the properties of combinations of trig functions in this open investigation.
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.
Sketch the graphs of y = sin x and y = tan x and some straight lines. Prove some inequalities.
Two problems about infinite processes where smaller and smaller steps are taken and you have to discover what happens in the limit.
Which is larger cos(sin x) or sin(cos x) ? Does this depend on x ?
