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joshuapeterson
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Determine the polar coordinates of the two points at which the polar curves r=5sin(theta) and r=5cos(theta) intersect. Restrict your answers to r >= 0 and 0 <= theta < 2pi.
Polar coordinates are a system of representing points in a two-dimensional space using a distance from the origin and an angle from a fixed reference direction.
To find the intersection of two polar coordinates, you can convert them to Cartesian coordinates and then use the standard method of finding the intersection of two lines.
No, polar coordinates are only used to represent points in a two-dimensional space. To represent points in a three-dimensional space, you would need to use spherical coordinates.
The main difference between polar coordinates and Cartesian coordinates is the way they represent points. Polar coordinates use distance and angle from the origin, while Cartesian coordinates use horizontal and vertical distances from the origin.
Polar coordinates are commonly used in navigation and mapping systems, as well as in physics and engineering to describe the position of objects in a circular or rotational motion. They are also used in polar graphs and equations to represent curves and shapes.