Investigation

## Further questions

Below is the graph of $y=3\sin x+4\cos x$.

How does this compare with the previous graph?

What function did you use to describe the previous graph?

Below are three graphs of similar functions, namely $y=A\sin x+B\cos x,$ where $A$ and $B$ are real numbers.

Can you work out what $A$ and $B$ are for each of these graphs?

Can you describe each of them using a single trigonometric function?

You might want to refer back to Things you might have noticed to help with this.