### Weekly Challenge 43: A Close Match

Can you massage the parameters of these curves to make them match as closely as possible?

### Weekly Challenge 44: Prime Counter

A weekly challenge concerning prime numbers.

### The Right Volume

Can you rotate a curve to make a volume of 1?

# Trigger

##### Age 16 to 18 Short Challenge Level:

Create a sketch of the function $y = \cos(\tan(x))$ for $-\pi \le x \leq \pi$, being sure to locate key turning points accurately.

You might wish to attempt this without resorting to IT.
Did you know ... ?

Whilst the properties of elementary functions might seem obvious, combinations of these can quickly lead to interesting behaviour which requires more thought to understand properly. Functions such as the one considered in the problem are part of the reason that calculus and functions are considered in more careful detail at university.