# Making Connections

### Making connections

These problems from Underground Mathematics encourage you to use and make connections between areas of mathematics.

### Parabella

##### Age 14 to 18Challenge Level
Can you prove an algebraic statement using geometric reasoning?

### Slices of Pi

##### Age 16 to 18Challenge Level
How are $\sin x$, $\cos x$ and $\tan x$ related to each other? Can you make sense of the the 'slices'?

### Rotating Derivatives

##### Age 16 to 18Challenge Level
By considering a point on a unit circle, can you use geometry to find the derivatives of $\sin x$ and $\cos x$?

### Can You Find... Asymptote Edition

##### Age 16 to 18Challenge Level
Can you work out the equation of the function from its graph?