Quadrant (plane geometry)
Quadrant (plane geometry) is a topic that has captured the attention of millions of people around the world. Since its inception, it has generated extensive debate and controversy, and has been the subject of numerous studies and research. In this article, we will explore in detail the impact of Quadrant (plane geometry) on today's society, analyzing its different facets and the implications it has for different areas. Additionally, we will examine how it has evolved over time and current trends that point towards its growth or decline. Quadrant (plane geometry) undoubtedly continues to be a relevant and constantly evolving topic, and it is essential to understand its scope and influence in today's world.
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The axes of a two-dimensional Cartesian system divide the plane into four infinite regions, called quadrants, each bounded by two half-axes.
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.
Mnemonic
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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.
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