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Quadrant 3 (angles from 180 to 270 degrees, or π to 3π/2 radians): T angent and cotangent functions are positive in this quadrant. Quadrant 4 (angles from 270 to 360 degrees, or 3π/2 to 2π radians): C osine and secant functions are positive in this quadrant. Other mnemonics include: All S tations T o C entral [6]
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 ...
Cartesian coordinate system with a circle of radius 2 centered at the origin marked in red. The equation of a circle is (x − a)2 + (y − b)2 = r2 where a and b are the coordinates of the center (a, b) and r is the radius. Cartesian coordinates are named for René Descartes, whose invention of them in the 17th century revolutionized ...
The horizontal plane shows the four quadrants between x - and y -axis. (Vertex numbers are little-endian balanced ternary.) An octant in solid geometry is one of the eight divisions of a Euclidean three-dimensional coordinate system defined by the signs of the coordinates. It is similar to the two-dimensional quadrant and the one-dimensional ray.
In the complex numbers, , there are exactly two numbers, i and −i, that give −1 when squared. In H {\displaystyle \mathbb {H} } there are infinitely many square roots of minus one: the quaternion solution for the square root of −1 is the unit sphere in R 3 . {\displaystyle \mathbb {R} ^{3}.}
The function atan2 computes the principal value of the argument function applied to the complex number x + i y.That is, atan2(y, x) = Pr arg(x + i y) = Arg(x + i y).The argument could be changed by an arbitrary multiple of 2π (corresponding to a complete turn around the origin) without making any difference to the angle, but to define atan2 uniquely one uses the principal value in the range ...