Quadranto



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Info@quadrant.us China Operation Center, Hangzhou. Building #9, No.959 Gaojiao Road Yuhang, Hangzhou, China 311100 info@quadrant.cn Manufacturing Site, Hangzhou. Quadrant (plural quadrants) One of the four sections made by dividing an area with two perpendicular lines. ( mathematics ) One of the four regions of the Cartesian plane bounded by the x-axis and y-axis. Quadrant Books, 408 pages. Of The Persecution of George Pell, Freedoms Project reviewer Paul Collits writes: The appearance of the book is a further sign of justice belatedly won, of sanity regained, of evil called out for what it is, of an attempted character assassination put to rights. Geometry, Astronomy. One of the four parts into which a plane, as the face of a heavenly body, is divided by two perpendicular lines, numbered counterclockwise from upper right: the first quadrant of the moon. An instrument, usually containing a graduated arc of 90°, used in astronomy, navigation, etc., for measuring altitudes. We would like to show you a description here but the site won’t allow us.

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In mathematics, a quadrant is one of the four sections of a rectangular coordinate plane. The quadrants are separated by the x- and y-axes and are labeled I through IV, starting in the upper right quadrant and going counterclockwise, as shown in the figure below.

Signs of the coordinates in a quadrant

The signs of coordinates of any point plotted in a particular quadrant are the same. A point cannot lie on both a quadrant and an axis. Points that lie on either axis have one coordinate that is 0, which is neither positive nor negative. The diagram below shows the signs of coordinates in different quadrants.

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Example:

Determine which quadrant each of the following points are located in. A: (2, 2); B: (-3, 1); C: (-1, -2); D: (3, -4).

Point A is in quadrant I since its coordinates are (+, +).

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Point B is in quadrant II since its coordinates are (-, +).

Points C is in quadrant III since its coordinates are (-, -).

Point D is in quadrant IV since its coordinates are (+, -).

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Quadrants in Trigonometry

The signs of the three basic trigonometric functions, sin, cos, and tan, vary based on which quadrant they are in. The sign of each trigonometric function in each quadrant can be determined using the signs of the coordinates along with basic trigonometric relationships. The diagram below shows the signs of these functions in different quadrants.


Did you know?

The first part of the word 'quadrant' is from a Latin root meaning four.

A popular name for an all-terrain vehicle (ATV) is 'quad,' named for its four large tires.

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Other words based on the same root include: quadrilateral, quadruplets, quadrillion.