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)" ")|)#
