List

Trigonometry

Degree Ceremony
problem

Degree Ceremony

Age
16 to 18
Challenge level
1 out of 3

Can you find the sum of the squared sine values?

Tri-angled Trig
problem

Tri-Angled Trig

Age
16 to 18
Challenge level
3 out of 3

Can you justify this equation involving three angles?

Making Waves
problem

Making Waves

Age
16 to 18
Challenge level
3 out of 3

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
2 out of 3

Draw graphs of the sine and modulus functions and explain the humps.

Tangled Trig Graphs
problem
Favourite

Tangled Trig Graphs

Age
16 to 18
Challenge level
1 out of 3

Can you work out the equations of the trig graphs I used to make my pattern?

Impossible square?
problem

Impossible Square?

Age
16 to 18
Challenge level
2 out of 3

Can you make a square from these triangles?

Impossible triangles?
problem

Impossible Triangles?

Age
16 to 18
Challenge level
2 out of 3

Which of these triangular jigsaws are impossible to finish?

Stand Up Arcs
problem

Stand Up Arcs

Age
16 to 18
Challenge level
1 out of 3

What happens when you straighten out concentric circles?

Calculating with cosines
problem

Calculating With Cosines

Age
14 to 18
Challenge level
2 out of 3

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?

Curved square
problem
Favourite

Curved Square

Age
16 to 18
Challenge level
1 out of 3

Can you find the area of the central part of this shape? Can you do it in more than one way?

Geometric Trig
problem

Geometric Trig

Age
16 to 18
Challenge level
1 out of 3

Trigonometry, circles and triangles combine in this short challenge.

Trigger
problem

Trigger

Age
16 to 18
Challenge level
2 out of 3

Can you sketch this tricky trig function?

Trig identity
problem

Trig Identity

Age
16 to 18
Challenge level
1 out of 3

In this short challenge, can you use angle properties in a circle to figure out some trig identities?

t for Tan
problem
Favourite

T for Tan

Age
16 to 18
Challenge level
1 out of 3

Can you find a way to prove the trig identities using a diagram?