Explaining, convincing and proving

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

Are these statistical statements sometimes, always or never true? Or it is impossible to say?

Can you invert the logic to prove these statements?

Can you work through these direct proofs, using our interactive proof sorters?

Was it possible that this dangerous driving penalty was issued in error?

Do you have enough information to work out the area of the shaded quadrilateral?

If for any triangle ABC tan(A - B) + tan(B - C) + tan(C - A) = 0 what can you say about the triangle?

By considering powers of (1+x), show that the sum of the squares of the binomial coefficients from 0 to n is 2nCn

Given any three non intersecting circles in the plane find another circle or straight line which cuts all three circles orthogonally.

To find the integral of a polynomial, evaluate it at some special points and add multiples of these values.