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A point with a zero abscissa (x-coordinate) and a negative ordinate (y-coordinate) would lie in the fourth quadrant of the Cartesian coordinate system. In this quadrant, the x-coordinate is positive or zero, while the y-coordinate is negative. This means that the point would be to the right of the y-axis (positive x-direction) and below the x-axis (negative y-direction).
In trigonometry, the sine function represents the ratio of the length of the side opposite an angle to the length of the hypotenuse in a right triangle. In quadrants 1 and 2, the angle is measured from the positive x-axis in a counterclockwise direction. Since the opposite side is positive in these quadrants and the hypotenuse is always positive, the sine function is positive. This is because the sine function is defined as positive when the opposite side is positive relative to the hypotenuse.
Coordinate is the common name. Abscissa is used for the information along the X-axis. Ordinate is used for the information along Y-axis. So abscissa is the x co-ordinate, and ordinate is the y co-ordinate. As they are both negative, then the point must be located in the third quadrant.
The 'co-ordinates' is where the X ordinate, and the Y ordinate meet at a point.
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