Advanced Problem Solving Module 8

Advanced Problem Solving module 8

Some of these problems are designed to help you think about fundamental skills and build your mathematical fluency and speed, so don't be put off if you think they're too easy!

We hope these resources will help you to develop a good understanding of trigonometry which is necessary for success in STEP and other advanced mathematics examinations.


Having a good grasp of trigonometry is important for solving advanced mathematics examinations questions.

Trig Reps 

Age 16 to 18 Challenge Level:
Can you deduce the familiar properties of the sine and cosine functions starting from these three different mathematical representations?

Three by One 

Age 16 to 18 Challenge Level:
There are many different methods to solve this geometrical problem - how many can you find?

T for Tan 

Age 16 to 18 Challenge Level:
Can you find a way to prove the trig identities using a diagram?