List

Trigonometry

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?
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?
Tangled Trig Graphs
problem

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?

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?

Loch Ness
problem

Loch ness

Age
16 to 18
Challenge level
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Draw graphs of the sine and modulus functions and explain the humps.

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 ?

t for Tan
problem

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?

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?

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?

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?

Curved square
problem

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?