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.

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?

Challenge Level

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

Challenge Level

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

Challenge Level

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

Challenge Level

Can you find the sum of the squared sine values?

Challenge Level

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

Challenge Level

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

Challenge Level

Can you justify this equation involving three angles?