Manuals/calci/INQUADRANTSIGN

INQUADRANTSIGN (Quadrant,TrigFunction)

• $Quadrant$ is the quadrant number.
• $TrigFunction$ is any trigonometric function.

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.

Examples

1. INQUADRANTSIGN(1,"SIN") = 1
2. INQUADRANTSIGN(2,"TAN") = -1
3. INQUADRANTSIGN(4,"COS") = 1

Related Videos

Quadrants

See Also

• INQUADRANT
• QUARTILE
• QUATERNION

References

• Quadrant

• List of Main Z Functions

• Z3 home