Polar coordinates

[size=200]Polar coordinates can be represented by (r, θ), where r is a distance from the Pole and θ is the angle a line segment from the pole to the point makes with the Polar Axis. [br][br]The point (r, θ) is known as the Polar Coordinate. This can be similar to (x, y) when correlating rectangular coordinates. [br][br]Therefore, the relation between polar coordinates (r,θ) and Cartesian coordinates (x, y) is given by: [br]x = rcosθ and y = rsinθ[br][br]The equation of a horizontal line is of the form y=c, where c is y-intercept, a constant.[br][br]Thus, in the polar coordinates equation would be as stated:[br]rsinθ =c and r=c cscθ[br][br]x[sup]2 [/sup]+y[sup]2 [/sup]= r[sup]2[/sup][/size][size=200][size=150][sup][/sup][/size] [br]r = √ x[sup]2 [/sup]+y[sup]2[/sup] [/size]