# Documentation/Calc Functions/CSC

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CSC

Mathematical

## Summary:

Returns the cosecant of the given angle (in radians).

CSC(Number)

## Returns:

Returns the (trigonometric) cosecant of Number, the angle in radians. The resultant value is a real number not between -1 and 1, i.e. (-∞,-1] and [+1,+∞).

## Arguments:

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

If Number is 0, CSC of 0 is not defined hence the function returns a numeric error(#NUM!) value.

• The cosecant of an angle is equivalent to 1 divided by the sine of that angle.
• Mathematically, cosecant of multiples of π, i.e. {......-2π,-π,0,+π,+2π.....} is undefined but the PI() function uses an approximate value of π hence the function doesn't return any error value except for 0.
• To insert an angle in degrees, either multiply the angle by PI()/180 or use the RADIANS function to convert the angle to radians.
• The formula for the CSC function is:

Where N is the Number

The figure below illustrates the function CSC.

CSC function

## Examples:

Formula Description Returns
=CSC(PI()/4) cosecant or inverse sine of PI/4 or π/4 radians 1.4142135623731
=CSC(RADIANS(30)) cosecant of 30° by first converting angle in degrees to radians 2
=CSC(0) cosecant of 0 radian #NUM!

CSC