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.
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Getting to grips with Trigonometry
Having a good grasp of trigonometry is important for solving advanced mathematics examinations questions.
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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?
problem
Favourite
Three by One
Age
16 to 18
Challenge level
There are many different methods to solve this geometrical problem - how many can you find?
problem
Favourite
t for Tan
Age
16 to 18
Challenge level
Can you find a way to prove the trig identities using a diagram?
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Prepare for university - pure mathematics
Helpful preparation for those intending to study a course involving pure mathematics at university.
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Prepare for university - applied mathematics
Helpful preparation for university for those intending to study a
course involving applied mathematics at university.
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NRICH and Olympiads
A useful entry point into the NRICH site for those students interested in Mathematical Olympiad problems or the Maths Challenges.