Question

How do you find the rectangular coordinate of (-1, 135 degrees)?

Answer 1

Polar coordinates `(-1,135^@) <=>` Rectangular coordinates `(sqrt(2)/2,-sqrt(2)/2)`

Explanation:

`135^@` has a reference angle of `45^@` in Quadrant II

The negative sign on the radius reflects the angle into Quadrant IV

An angle of `(-45^@)`, that is a `45^@` reference angle in Quadrant IV
with a hypotenuse (the radius) of `1`
has `(x,y)` components `(sqrt(2)/2,-sqrt(2)/2)`