# Trigonometry

### Loch Ness

##### Age 16 to 18Challenge Level

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

### Impossible Square?

##### Age 16 to 18Challenge Level

Can you make a square from these triangles?

### Impossible Triangles?

##### Age 16 to 18Challenge Level

Which of these triangular jigsaws are impossible to finish?

### Curved Square

##### Age 16 to 18Challenge Level

Can you find the area of the central part of this shape? Can you do it in more than one way?

### Tangled Trig Graphs

##### Age 16 to 18Challenge Level

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

### Trig Identity

##### Age 16 to 18 ShortChallenge Level

In this short challenge, can you use angle properties in a circle to figure out a trig identity?

### Geometric Trig

##### Age 16 to 18 ShortChallenge Level

Trigonometry, circles and triangles combine in this short challenge.

### Trigger

##### Age 16 to 18 ShortChallenge Level

Can you sketch this tricky trig function?

### Stand up Arcs

##### Age 16 to 18 ShortChallenge Level

What happens when you straighten out concentric circles?

### Calculating with Cosines

##### Age 14 to 18Challenge Level

If I tell you two sides of a right-angled triangle, you can easily work out the third. But what if the angle between the two sides is not a right angle?