# Resources tagged with: Trigonometric functions and graphs

### There are 14 results

Broad Topics >

Coordinates, Functions and Graphs > Trigonometric functions and graphs

##### 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

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

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

##### 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 Short

Challenge Level

Can you sketch this tricky trig function?

##### 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

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

##### Age 16 to 18

Challenge Level

Build up the concept of the Taylor series

##### 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

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

##### 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

Challenge Level

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

##### 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

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