Skip to main content
### Number and algebra

### Geometry and measure

### Probability and statistics

### Working mathematically

### For younger learners

### Advanced mathematics

# Trigger

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.

## You may also like

### A Close Match

Links to the University of Cambridge website
Links to the NRICH website Home page

Nurturing young mathematicians: teacher webinars

30 April (Primary), 1 May (Secondary)

30 April (Primary), 1 May (Secondary)

Or search by topic

Age 16 to 18

ShortChallenge Level

- Problem
- Getting Started
- Solutions

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.

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.

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