The four quadrants of a Cartesian coordinate system
Quadrant 1-4
The axes of a two-dimensional Cartesian system divide the plane into four infinite regions, called quadrants, each bounded by two half-axes.
Design greeting card templates 2 1 download free. These are often numbered from 1st to 4th and denoted by Roman numerals: I (where the signs of the (x; y) coordinates are I (+; +), II (−; +), III (−; −), and IV (+; −). When the axes are drawn according to the mathematical custom, the numbering goes counter-clockwise starting from the upper right ('northeast') quadrant.
Most commonly used in mathematics to refer to the four quarters of the coordinate plane. Recall that the coordinate plane has an x-axis that divides into a top and bottom half, and a y-axis dividing into the left and right half. Together they create the four quadrants of the plane. Find the Quadrant (-4,0) Since the x-coordinate is negative and the y-coordinate is, the point is located on x-axis between the second and third quadrants. The quadrants are labeled in counter-clockwise order, starting in the upper-right.
Mnemonic[edit]
Signs of trigonometric functions in each quadrant
Quadrant 1 And 4
In the above graphic, the words in quotation marks are a mnemonic for remembering which three trigonometric functions (sine, cosine and tangent) are positive in each quadrant. The expression reads 'All Science Teachers Crazy' and proceeding counterclockwise from the upper right quadrant, we see that 'All' functions are positive in quadrant I, 'Science' (for sine) is positive in quadrant II, 'Teachers' (for tangent) is positive in quadrant III, and 'Crazy' (for cosine) is positive in quadrant IV. There are several variants of this mnemonic.
Quadranto 1 4 12
See also[edit]
Quadrant 1 2 3 4
External links[edit]
Wikimedia Commons has media related to Cartesian coordinates (plane). |
- Weisstein, Eric W.'Quadrant'. MathWorld.
- Quadrant at PlanetMath.org.
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