Answer:
Step-by-step explanation:
The length of the polar coordinates ray is found using the Pythagorean Theorem: ray length = √( (-1)^2 + (-2)^2 ) = √( 1 + 4) = √5
Because both the x- and the y-coordinates here are negative, the ray is in Quadrant III. Measuring the angle counterclockwise from 0°, we get
Ф = 180° + arctan 2/1, or Ф = 180° + 63.43°, or 243.43°
The desired polar coordinates are (2√2, 243.43°)
