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# Trigonometry

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Age 16 to 18

Challenge Level

Which is larger cos(sin x) or sin(cos x) ? Does this depend on x ?

Age 16 to 18

Challenge Level

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

Age 16 to 18

Challenge Level

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

Age 16 to 18

Challenge Level

Which of these triangular jigsaws are impossible to finish?

Age 16 to 18

Challenge Level

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

Age 16 to 18

Challenge Level

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

Age 16 to 18

Challenge Level

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

Age 16 to 18

ShortChallenge Level

Trigonometry, circles and triangles combine in this short challenge.

Age 16 to 18

ShortChallenge Level

What happens when you straighten out concentric circles?

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?