Question

For each of the described curves, decide if the curve would be more easily given by a polar equation or a cartesian equation. then write an equation for the curve. (a) a line through the origin that makes an angle of π/3 with the positive x-axis.

Answer 1

(a) In polar coordinates, the desired line has the simple equation
θ = π/3

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The Cartesian equation is almost as simple:
y = tan(π/3)·x
y = (√3)x