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There are **16** NRICH Mathematical resources connected to **Trigonometric functions and graphs**, you may find related items under Coordinates, functions and graphs.

Problem
Primary curriculum
Secondary curriculum
### What's That Graph?

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

Age 14 to 18

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Back Fitter

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?

Age 14 to 18

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Tangled Trig Graphs

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

Age 16 to 18

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Taking Trigonometry Series-ly

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

Age 16 to 18

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Sine and Cosine

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?

Age 14 to 16

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Squareness

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?

Age 16 to 18

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Loch Ness

Draw graphs of the sine and modulus functions and explain the humps.

Age 16 to 18

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Trig-trig

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

Age 16 to 18

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Spherical Triangles on Very Big Spheres

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.

Age 16 to 18

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Building Approximations for Sin(x)

Build up the concept of the Taylor series

Age 16 to 18

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### What Do Functions Do for Tiny X?

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

Age 16 to 18

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Climbing

Sketch the graphs of y = sin x and y = tan x and some straight lines. Prove some inequalities.

Age 16 to 18

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Small Steps

Two problems about infinite processes where smaller and smaller steps are taken and you have to discover what happens in the limit.

Age 16 to 18

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Making Waves

Which is larger cos(sin x) or sin(cos x) ? Does this depend on x ?

Age 16 to 18

Challenge Level