Answer
$\sin 20^\circ=0.34$
$\cos 20^\circ = 0.94$
$\tan 20^\circ = 0.36$
$\cot 20^\circ = 2.75$
$\sec 20^\circ = 1.06$
$\csc 20^\circ = 2.92$
Work Step by Step
The point $(x,y)$ from our construction has the coordinates
$(x,y)=(9.4,3.4)$,
so we have:
$x=9.4$
$y=3.4$
We calculate $\sin 20^\circ$:
$\sin 20^\circ=\frac{y}{10}=\frac{3.4}{10}=0.34$
We calculate $\cos 20^\circ$:
$\cos 20^\circ=\frac{x}{10}=\frac{9.4}{10}=0.94$
We calculate $\tan 20^\circ$:
$\tan 20^\circ=\frac{y}{x}=\frac{3.4}{9.4}=0.36$
We calculate $\cot 20^\circ$:
$\cot 20^\circ=\frac{x}{y}=\frac{9.4}{3.4}=2.75$
We calculate $\sec 20^\circ$:
$\sec 20^\circ=\frac{10}{x}=\frac{10}{9.4}=1.06$
We calculate $\csc 20^\circ$:
$\csc 20^\circ=\frac{10}{y}=\frac{10}{3.4}=2.92$
