Answer
$$ x=22.5 ^{\circ} , \ 112.5^{\circ},\ 202.5^{\circ},\ 292.5^{\circ} $$
Work Step by Step
Given $$ \tan2x= 1$$
From the figure, we find the intersection points between $y= \tan2x$ and $ y=1$; we get
$$ x=22.5 ^{\circ} , \ 112.5^{\circ},\ 202.5^{\circ},\ 292.5^{\circ} $$
