### There are 13 results

Broad Topics >

Functions and Graphs > Trigonometric functions and graphs

##### Age 16 to 18 Challenge Level:

Build up the concept of the Taylor series

##### Age 14 to 18 Challenge Level:

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

##### Age 16 to 18 Challenge Level:

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

##### Age 16 to 18 Challenge Level:

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

##### Age 16 to 18 Challenge Level:

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:

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

##### Age 16 to 18 Challenge Level:

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

##### Age 14 to 16 Challenge Level:

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 16 to 18 Short Challenge Level:

Can you sketch this tricky trig function?

##### Age 16 to 18 Challenge Level:

What does Pythagoras' Theorem tell you about these angles: 90°, (45+x)° and (45-x)° in a triangle?

##### Age 16 to 18 Challenge Level:

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:

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

##### Age 16 to 18 Challenge Level:

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