Answer
$3+\sqrt 2$
Work Step by Step
We use the unit circle values to simplify.
Since :$\sin{\frac{\pi}{4}}=\frac{\sqrt2}{2}$ and $\tan{\frac{\pi}{4}}=1$, then
$2 \ \sin \frac{\pi}{4} + 3 \tan \frac{\pi}{4}\\
= (2) (\frac{\sqrt 2}{2}) + (3) (1) \\
=\sqrt 2 + 3\\
=3+\sqrt2$
