In this short challenge, can you use angle properties in a circle to figure out some trig identities?
Can you prove our inequality holds for all values of x and y between 0 and 1?
What can you deduce about the gradients of curves linking (0,0), (8,8) and (4,6)?
Get started with calculus by exploring the connections between the sign of a curve and the sign of its gradient.
How did Archimedes calculate the lengths of the sides of the polygons which needed him to be able to calculate square roots?
Prove that k.k! = (k+1)! - k! and sum the series 1.1! + 2.2! + 3.3! +...+n.n!
Find the relationship between the locations of points of inflection, maxima and minima of functions.
