Trigonometry

Can you find the sum of the squared sine values?

Can you justify this equation involving three angles?

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

Can you make a square from these triangles?

Which of these triangular jigsaws are impossible to finish?

What happens when you straighten out concentric circles?

Trigonometry, circles and triangles combine in this short challenge.

Can you sketch this tricky trig function?

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

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

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

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?

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

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