List

Trigonometry

Degree Ceremony
problem

Degree Ceremony

Age
16 to 18
Challenge level
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Can you find the sum of the squared sine values?
Making Waves
problem

Making Waves

Age
16 to 18
Challenge level
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Which is larger cos(sin x) or sin(cos x) ? Does this depend on x ?
Loch Ness
problem
Favourite

Loch Ness

Age
16 to 18
Challenge level
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Draw graphs of the sine and modulus functions and explain the humps.
t for Tan
problem
Favourite

t for Tan

Age
16 to 18
Challenge level
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Can you find a way to prove the trig identities using a diagram?
Impossible square?
problem

Impossible square?

Age
16 to 18
Challenge level
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Can you make a square from these triangles?
Impossible triangles?
problem

Impossible triangles?

Age
16 to 18
Challenge level
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Which of these triangular jigsaws are impossible to finish?
Curved square
problem
Favourite

Curved square

Age
16 to 18
Challenge level
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Can you find the area of the central part of this shape? Can you do it in more than one way?
Trig identity
problem

Trig identity

Age
16 to 18
Challenge level
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In this short challenge, can you use angle properties in a circle to figure out some trig identities?
Geometric Trig
problem

Geometric Trig

Age
16 to 18
Challenge level
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Trigonometry, circles and triangles combine in this short challenge.
Trigger
problem

Trigger

Age
16 to 18
Challenge level
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Can you sketch this tricky trig function?
Stand Up Arcs
problem

Stand Up Arcs

Age
16 to 18
Challenge level
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What happens when you straighten out concentric circles?
Calculating with cosines
problem

Calculating with cosines

Age
14 to 18
Challenge level
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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?
Tri-angled Trig
problem

Tri-angled Trig

Age
16 to 18
Challenge level
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Can you justify this equation involving three angles?
Tangled Trig Graphs
problem
Favourite

Tangled Trig Graphs

Age
16 to 18
Challenge level
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Can you work out the equations of the trig graphs I used to make my pattern?