Stuck with this one.
I am thinking half angle formulae but cant get started
Im asked to use the top identity to solve the bottom problem
Thnks in advance
Hmm, are you sure you wrote the rest of the question correctly?
$\displaystyle sin(\frac{\pi}{8})=\frac{\sqrt{2-\sqrt{2}}}{2}$
and,
$\displaystyle cos(\frac{\pi}{8})=\frac{\sqrt{2+\sqrt{2}}}{2}$
so,
$\displaystyle tan(\frac{\pi}{8})=\frac{\frac{\sqrt{2-\sqrt{2}}}{2}}{\frac{\sqrt{2+\sqrt{2}}}{2}}=\sqrt{ 3-2\sqrt{2}}$