Food for thought

## Interactive graphs and solution

• If $\tan A=\tan B$, what can we say about $A$ and $B$?

Here is a graph of $y=\tan x$, showing the solutions of $\tan x=a$.

You can slide the point on the $y$-axis to change the value of $a$.

• If $\cos A=\cos B$, what can we say about $A$ and $B$?
Here is a graph of $y=\cos x$, showing the solutions of $\cos x=a$.
• If $\sin A=\sin B$, what can we say about $A$ and $B$?
Here is a graph of $y=\sin x$, showing the solutions of $\sin x=a$.