Question

Convert (-5, pi/4) to rectangular coordinates

Answer 1

( -5 , pi/4 )
r \(\theta\)

keep in mind that \(\bf x = rcos(\theta) \implies (-5)cos\left(\frac{\pi}{4}\right)\\
y = rsin(\theta)\implies (-5)sin\left(\frac{\pi}{4}\right)\)

Answer 2

so now just get the values for \(\bf cos\left(\frac{\pi}{4}\right), sincos\left(\frac{\pi}{4}\right)\)
and get your ordered pair :)

Answer 3

\(\bf sin\left(\frac{\pi}{4}\right)\) that is :)