Calculus II - Polar Coordinates (Assignment Problems)
Figure 1. Planets follow elliptical paths as they orbit around the Sun. They are in constant motion, so fixing an exact position of any planet is valid only for a moment. In this section, we will focus on the polar system and the graphs that are generated directly from polar coordinates. All points that satisfy the polar equation are on the graph. Symmetry is a property that helps us recognize and plot the graph of any equation.
Polar coordinates are in the form r,theta where r is the distance from the origin 0, 0 to the point and theta is the angle in radians from the positive x-axis. To find the value of theta , know that 6 is the opposite and -6 is the adjacent side of a right-angled triangle, so:. How do you convert 6, -6 into polar coordinates? David G. Jan 31,
Many systems and styles of measure are in common use today. When graphing on a flat surface, the rectangular coordinate system and the polar coordinate system are the two most popular methods for drawing the graphs of relations. Polar coordinates are best used when periodic functions are considered. Although either system can usually be used, polar coordinates are especially useful under certain conditions.
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