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

1 Answer
Alan P.
Nov 13, 2015

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)

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