MAT136H1 Lecture Notes - Pythagorean Theorem, Cartesian Coordinate System, Polar Coordinate System

• School: UTSG
• Department: Mathematics
• Course: MAT136H1
• Professor: all

Document Summary

Question #3 (easy): converting cartesian coordinates into polar coordinates. Given the cartesian coordinates which represent and , based on the r can be determined. Then using any of the trigonometric ratios and and (preferred since they are given from the beginning) the angle can be determined. Remember to keep your calculator in the radian measure. Given the cartesian coordinates ( : find the polar coordinates ( ) of the point where and, find the polar coordinates ( ) of the point where and. Then based on the pythagorean theorem r can be determined: ; ( ) Then the polar coordinates are ( in radian measure: if , then r can be kept at , and the negative angle going clockwise can be expressed as positive angle going counterclockwise, thus.