Question

Determine two pairs of polar coordinates for the point (5, -5) with 0° ≤ θ < 360°.

Answer 1

Answer:

you first find the radius which is given by r=√(5^2)+(-5^2)=5√2,and then you find the angle which is given by tan^-1(y÷x),that is tan^-1(-5÷5)=-45°.This angle lies between (5,-5)

so 360-45=315°.

The ordered pair will be (5√2,315°)

To obtain the second ordered pair 315°-180°=135°

(5√2,135°)

the two pairs of polar coordinates are (5√2,135°,

5√2,315°)