Skip to main content
### Number and algebra

### Geometry and measure

### Probability and statistics

### Working mathematically

### For younger learners

### Advanced mathematics

# Trigonometry Feature

###
Calculating with Cosines

###
T for Tan

###
Trig Identity

###
Tangled Trig Graphs

###
Loch Ness

###
Making Waves

Or search by topic

This feature showcases 8 problems all involving trigonometry. When exploring these problems you will be asked to prove trigonometrical results, sketch graphs of trig functions and solve other problems involving trig.

The closing date for solutions to our live problems is Monday 17th April 2023.

Age 14 to 18

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?

Age 16 to 18

Challenge Level

Can you find a way to prove the trig identities using a diagram?

Age 16 to 18

Challenge Level

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

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 16 to 18

Challenge Level

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