Right angled Isoceles triangle

This triangle has one right angle and two angles of 45 degrees each. Here are the exact values of the trigonometric ratios for an angle of 45 degrees

${\displaystyle \sin <!--\; \; -->45°=\frac{1}{\sqrt{2}}}$

${\displaystyle \cos <!--\; \; -->45°=\frac{1}{\sqrt{2}}}$

${\displaystyle \tan <!--\; \; -->45°=1}$

This diagram shows how they are derived using the pythagoras theorem on an Isoceles triangle