MTH 108 Study Guide - Quiz Guide: Polar Coordinate System, Cartesian Coordinate System, Precalculus

• School: University of Miami
• Department: Mathematics
• Course: MTH 108
• Professor: Lun- Yi Tsai

Document Summary

Provide a generalization to each of the key terms listed in this section. A pole is a point in the polar coordinate system. A polar axis is a ray with a vertex at the pole in the polar coordinate system. Polar coordinates are ordered pairs in the form of (r, ). (r, ) Any point with (r, ) as their respected polar coordinates, which has in radians, can represent by either (r, + 2 k) or even ( r, + + 2pik), which notes that k is any integer. On the other hand, (r, ) are also the poles polar coordinates, which notes that being any possible angle. Polar coordinates are ordered pairs in the form of (x, y). Rectangular (x, y) x = r cos y = r sin . Rectangular to polar coordinates r = px2 + y2 r2 = x2 + y2 tan = y x.