Thursday, November 21, 2019
Maths and Statistics Assignment 2 Essay Example | Topics and Well Written Essays - 1000 words
Maths and Statistics Assignment 2 - Essay Example The point of intersection, where the axes meet is called the origin normally labelled as O. A particular point on a two dimensional coordinate system is defined by the x unit first, followed by y unit in the form (x, y). There are four quadrants as shown in below figure. In Quadrant I the values are (x,y), and II:(-x,y), III:(-x,-y) and IV:(x,-y). Theà polar coordinate systemà is aà two-dimensionalà coordinate systemà in which a distance from a fixed point and an angle from a fixed direction determine each point on a plane. It is useful where the relationship between two points is expressed in terms of angle and distance. The fixed point is called theà pole, and theà rayà from the pole with the fixed direction is theà polar axis. The distance from the pole is called theà radial coordinateà orà radius, and the angle (measured in anti-clockwise) is theà angular coordinate,à polar angle, orà azimuth. Below diagram (left) shows the polar coordinate system: A particular point on the polar coordinate system is defined by the distance r first, followed by the angle à ¸ (in degrees or radians) in the form (r, à ¸). An equivalent Cartesianà coordinate systemà for the polar coordinate systemà is shown to the right, where point (x, y) is represented by (. Latitudeà (horizontal line also referred as parallel) is the angular distance, in degrees, minutes, and seconds of a point north or south of the Equator.à Each degree of latitude is approximately 69 miles (111 km) apart. Degrees latitude are numbered from 0à ° to 90à ° north and south. Zero degree is the equator, the imaginary line that divides our planet into the northern and southern hemispheres. 90à ° north is the North Pole and 90à ° south is the South Pole. Longitudeà (vertical line also referred as meridians) is the angular distance, in degrees, minutes, and seconds, of a point east or
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