Question

Write the following complex number in polar form. Express all angles in degrees rounded to the nearest tenth. 90 points.

15+15i

Answer 1

(21.2, 45deg.)

Explanation:

plot 15+15i on an x-y plane, the radius to (0,0) = sqrt (15^2+15^2) = 15*sqrt(2)

radius = 21.2

angle from (0,0) to (15,15) is 45deg.

so the polar form is (21.2, 45deg.)

Answer 2

r^2 + 15^2 + 15^2

r = sqrt (450)

tan O = 15/15 = 1

so O = 45 degrees

so polar form for 15 + 15i

= sqrt 450 ( cos 45 + i sin45) or

21.2 (cos 45 + i sin 45)