Manuals/calci/INQUADRANTSIGN

INQUADRANTSIGN (Quadrant,TrigFunction)

Description

This function shows the sign of the trigonometric functions in each quadrant.
In $INQUADRANTSIGN(Quadrant,TrigFunction)$ , $Quadrant$ is the quadrant number.
$TrigFunction$ is the trigonometric function.
Generally there are Four quadrants.
Quadrants are defined by the axes of a two dimensional Cartesian system divide the plane into four infinite regions and each bounded by two half-axes.
The sign of a trigonometric function is dependent on the signs of the coordinates of the points on the terminal side of the angle.
By knowing in which quadrant the terminal side of an angle lies, you also know the signs of all the trigonometric functions.
There are eight regions in which the terminal side of an angle may lie: in any of the four quadrants, or along the axes in either the positive or negative direction.
The distance from a point to the origin is always positive, but the signs of the x and y coordinates may be positive or negative.
Thus, in the first quadrant, where x and y coordinates are all positive, all six trigonometric functions have positive values.
In the second quadrant, only sine and cosecant (the reciprocal of sine) are positive.
In the third quadrant, only tangent and cotangent are positive.
Finally, in the fourth quadrant, only cosine and secant are positive.