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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.
problem
Calculating with cosines
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?
problem
Favourite
T for tan
Age
16 to 18
Challenge level
Can you find a way to prove the trig identities using a diagram?
problem
Trig identity
Age
16 to 18
Challenge level
In this short challenge, can you use angle properties in a circle to figure out some trig identities?
problem
Favourite
Tangled trig graphs
Age
16 to 18
Challenge level
Can you work out the equations of the trig graphs I used to make my pattern?
problem
Degree ceremony
Age
16 to 18
Challenge level
Can you find the sum of the squared sine values?
problem
Favourite
Loch ness
Age
16 to 18
Challenge level
Draw graphs of the sine and modulus functions and explain the humps.
problem
Making waves
Age
16 to 18
Challenge level
Which is larger cos(sin x) or sin(cos x) ? Does this depend on x ?
problem
Tri-angled trig
Age
16 to 18
Challenge level
Can you justify this equation involving three angles?