# Trigonometry

### Loch Ness

##### Stage: 5 Challenge Level:

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

### Impossible Square?

##### Stage: 5 Challenge Level:

Can you make a square from these triangles?

### Impossible Triangles?

##### Stage: 5 Challenge Level:

Which of these triangular jigsaws are impossible to finish?

### Curved Square

##### Stage: 5 Challenge 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

##### Stage: 5 Challenge Level:

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

### Weekly Challenge 21: Trig Identity

##### Stage: 4 and 5 Short Challenge Level:

A weekly challenge: these are shorter problems aimed at Post-16 students or enthusiastic younger students.

### Geometric Trig

##### Stage: 5 Short Challenge Level:

Trigonometry, circles and triangles combine in this short challenge.

### Trigger

##### Stage: 5 Short Challenge Level:

Can you sketch this tricky trig function?

### Weekly Challenge 23: Stand up Arcs

##### Stage: 4 and 5 Short Challenge Level:

A weekly challenge: these are shorter problems aimed at Post-16 students or enthusiastic younger students.

### Calculating with Cosines

##### Stage: 4 and 5 Challenge 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?