MAT136H1 Lecture Notes - Polar Coordinate System, Cartesian Coordinate System

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ultramarineeel914

8 Apr 2013

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MAT136H1 Full Course Notes

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Document Summary

Pole is a point in the plane (origin) and labeled o. Horizontal line drawn from the pole is called polar axis, and usually corresponds to the positive x-axis in. For any point p in the plane, the distance op is r, and angle (usually in radians) is formed between the polar axis and the line op. Then the point p is represented by the ordered pair ( ) and these are called the polar coordinates of p. If , the point ( ) lies in the same quadrant as ; if , the point ( ) lies in the opposite side of the pole, which is the origin. Angle is positive is measured counterclockwise, and negative if in clockwise direction. therefore, the cartesian coordinate is and and and and.

Related Questions

Let p be the point in the plane that is a distance of 4 from the origin and that has the property that the ray from the origin to p makes an angle of 7π/6 radians with the ray lying along the positive x-axis. Find the Cartesian coordinates, (x, y) coordinates, for the point p.