- #1
Gundown64
- 9
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Homework Statement
The Cartesian coordinates of a point are given. (3,-5)
(i) Find polar coordinates (r, θ) of the point, where
r > 0 and 0 ≤ θ < 2π.
(ii) Find polar coordinates (r, θ) of the point, where
r < 0 and 0 ≤ θ < 2π.
Homework Equations
r^2=x^2+y^2
tanθ=(y/x) → θ=arctan(y/x)
The Attempt at a Solution
r=√(9+25)=√(34)
θ=arctan(-5/3)
The problem must be in exact terms which typically involves pi (in the problems I have worked at least). Radians and degrees are not allowed as an answer. What is the value for theta? I can't figure out where to go from there. Any help is appreciated. Thanks!