Quadrant ( plane geometry ) - wikipedia Quadrant ( plane geometry ) The four quadrants of a Cartesian coordinate system. 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 Signs of trigonometric functions in each quadrant 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. See also Orthant Octant ( solid geometry ) External links Wikimedia Commons has media related to Quadrants. Weisstein, Eric W. `` Quadrant ''. MathWorld. Quadrant at PlanetMath.org. Retrieved from `` https://en.wikipedia.org/w/index.php?title=Quadrant_(plane_geometry)&oldid=863024594 '' Categories : Euclidean plane geometry Hidden categories : Commons category with local link different than on Wikidata Talk About Wikipedia Čeština Corsu Dansk Deutsch Español Français 한국어 Italiano עברית Lëtzebuergesch Nederlands Norsk Norsk nynorsk Português Српски / srpski Svenska Tiếng Việt 粵語 中文 11 more Edit links This page was last edited on 8 October 2018, at 06 : 51 ( UTC ). About Wikipedia

Question: the cartesian plane is divided into four regions or
Answer: quadrants