Question

How do you convert `(-5, π/4)` to rectangular form?

Answer 1

Coordinates in rectangular form are `(-5/sqrt2, -5/sqrt2)`

Explanation:

To convert `(−5,pi/4)` to rectangular form, we use relations `x=rcostheta` and `y=rsintheta`

Hence `x=(-5)cos(pi/4)` and `y=(-5)sin(pi/4)`

or `x=-5/sqrt2` and `y=-5/sqrt2`

Hence coordinates in rectangular form are `(-5/sqrt2, -5/sqrt2)`