Question

How do you convert `-2 - 7i` to polar form?

Answer 1

`color(green)("Polar form " = (r, theta) = (7.28, 254.05^@)`

Explanation:

`z = -2 - i 7`

`r = sqrt (-2^2 + -7^2) = sqrt 53 = 7.28`

`theta = tan ^ -1 (-7 / -2) = 3.5 = 74.05`

Point lies in the third quadrant.

`"Hence " theta = 180 + 74.05 = 254.05^@`

`color(green)("Polar form " = (r, theta) = (7.28, 254.05^@)`