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In order to plot a pair of coordinates in the Cartesian plane surface, quadrants identification needs to be judged to plot the value based on the sign of numbers. It is a system where the coordinates plot on a perpendicular plane and intersect at the origin point of the graph. The cartesian system is plotted in the two-dimensional plane where axes are used that include X-axis and y-axis. Both X-axis and y-axis intersect at the origin point (0,0). The double zeros indicate the horizontal line of the x-axis that started from zero and also the vertical line of the y axis starting from zero.
Explanation of Cartesian coordinate system Terms
In the 17th century, Rene Descartes mathematician first created this system to plot all point values to identify the domain or region of the pair numbers of a point. The Cartesian System has four quadrants where all values are put on the basis of the sign of the number of a point. In the first quadrant, there are two positive quadrants plus signs. In the first quadrant, the value of both the x-axis and y-axis is positive. The second quadrant has one negative and one positive which means the value of all x-axis is negative and the value of the y axis is positive. The third quadrant of the Cartesian plane is both a negative sign which means the value of all x-axis is negative and the value of the y-axis is negative. The last quadrant is the fourth quadrant where one is negative and one is positive, which means the value of all x-axis is positive and the value of the y-axis is negative.
These four regions help to make the position of a point and draw a specific region with value in centimetre units.
Condition of the Cartesian coordinate system
The Cartesian System is the count of the number of boxes that has a specific value, starting from zero. In the Cartesian Coordinate Plane, the boxes are calculated in centimetre units or meter units. The trigonometric function has been plotted based on the direction of radians values. The Cartesian plane has been divided into four regions and the regions are calculated in an anti-clock direction. The total region of a cartesian plane is 360o where each region has mentioned 90o but the calculation is continuously counted with 90o, 180o,270o, and 360o.
The Cartesian system can be plotted in a three-dimensional region where three axes are plotted in the cartesian plane. X, Y and Z are three axes where X and Y are represented based on the three-dimensional cartesian plane and Z is the length of the system.
Process for Making Cartesian Quadrant
In order to plot the Cartesian quadrant in the Cartesian plane first, it is necessary to introduce the sign of parameter or coordinate numbers. As an example, a point is assumed A(3,-4 ), in order to plot this in the two-dimensional cartesian planes, the sign of the parameter indicates the fourth quadrant region. In this quadrant, the number 4 is placed on the x-axis of the Cartesian plane and the number -3 is placed on the y axis in the fourth quadrant. In the three dimensional planes, assume A(5,3, 8) where 5 and 3 indicates at the based points of the x and y-axis and 7 is plotted at the Z coordinates
Conclusion
Conclusively, the Cartesian system is used in math to plot the position of a point. This system has a graphical plane where four regions are divided on the basis of their signs. There are two axes in the two-dimensional cartesian coordinates that includes X-axis and Y-axis. In this three dimensional coordinate system, there are three axes (X, Y, Z) where X and Y are the base of the graph and Z is the length of the graph. Each axis of the graph plane is perpendicular to each other and each radian is 90o. The Cartesian quadrants have been used in the trigonometric sum by putting trigonometric function.
