How do you convert (1,-2) into polar form?
1 Answer
Sep 4, 2017
Explanation:
We're asked to convert a rectangular coordinate into its polar form.
To do this, we can use the equations
-
r^2 = x^2 + y^2 -
tantheta = y/x
We have
r^2 = 1^2 + (-2)^2
color(red)(r) = sqrt(1^2 + (-2)^2) = color(red)(ul(sqrt5
tantheta = (-2)/1
color(red)(theta) = arctan((-2)/1) = color(red)(-1.107) (radians)
The coordinate is thus
color(blue)(ulbar(|stackrel(" ")(" "(sqrt5, -1.107)" ")|)