Documentation/Calc Functions/CSC

Function name:
CSC

Category:
Mathematical

Summary:
Calculates the trigonometric cosecant (csc) of an angle expressed in radians.

Syntax:
CSC(Number)

Returns:
Returns a number that is the trigonometric cosecant of the specified angle. The value returned is a real number x, such that x ≤ -1 or x ≥ 1 (x cannot lie in the range (-1, 1)).

Arguments:
Number is a real number, or a reference to a cell containing that number, that is the angle in radians whose trigonometric cosecant is to be calculated.


 * If Number is non-numeric, then CSC reports a #VALUE! error.


 * If Number is equal to 0, then CSC reports a #NUM! error.

Additional details:
If your angle is expressed in degrees, either multiply by PI/180 or use the RADIANS function to convert to radians.

The formula for the trigonometric cosecant of x is: $$\text{ csc }(x)~=~\frac{1}{\ sin (x)}$$

Mathematically, the cosecant of any integer multiple of &pi;, i.e. {......-2&pi;, -&pi;, 0, &pi;, 2&pi;.....} is undefined. For this reason, CSC reports an error when its argument is equal to 0. However, because of the inherent inaccuracy in representing &pi; numerically, CSC does not report errors for other argument values. You should be aware that CSC will return large positive or negative results for non-zero integer values of &pi;.

The figure below illustrates the function CSC.

Related LibreOffice functions:
COS

COT

SEC

SIN

TAN

ODF standard:
Section 6.16.23, part 2

Equivalent Excel functions:
CSC