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CSC

The CSC function returns the cosecant of an angle. The cosecant is the reciprocal of the sine function. It takes an angle in radians as its only argument.

Usage

Use the CSC formula with the syntax shown below, it has 1 required parameter:

=CSC(angle)
Parameters:
  1. angle (required):
    The angle in radians for which to calculate the cosecant. Must be a numeric value or a reference to a cell containing a numeric value.

Examples

Here are a few example use cases that explain how to use the CSC formula in Google Sheets.

Calculating the cosecant of an angle

One common use of the CSC function is to calculate the cosecant of an angle. For example, you may need to find the length of the hypotenuse of a right triangle given the length of the adjacent side and the angle opposite that side. You can use the cosecant function to find the length of the hypotenuse.

Calculating the distance between two points

Another use of the CSC function is to calculate the distance between two points on a circle. If you know the radius of the circle and the angle between the two points, you can use the cosecant function to find the distance between them.

Common Mistakes

CSC not working? Here are some common mistakes people make when using the CSC Google Sheets Formula:

Using degrees instead of radians as input

The CSC function requires the input angle to be in radians, not degrees. You can convert degrees to radians using the RADIANS function. For example, to calculate the cosecant of 45 degrees, you should use =CSC(RADIANS(45)), not =CSC(45).

Dividing by zero

The CSC function returns an error if the input angle is a multiple of π. This is because the cosecant of these angles is undefined, which means that the function would be dividing by zero. To avoid this error, you can add a small value to the input angle, such as 0.0001, to make it slightly different from a multiple of π.

The following functions are similar to CSC or are often used with it in a formula:

  • SIN

    The SIN function in Google Sheets returns the sine of a given angle in radians. Sine is a mathematical function that describes a smooth repetitive oscillation. It is commonly used in trigonometry, physics, and engineering to model phenomena such as waves, oscillations, and periodic motion.

  • COS

    The COS function in Google Sheets returns the cosine of an angle provided in radians. It is commonly used in trigonometry to calculate the cosine of an angle. The function takes one parameter, the angle in radians.

  • TAN

    The TAN function returns the tangent of an angle specified in radians. Tangent is the ratio of the length of the opposite side to the length of the adjacent side of a right-angled triangle. This function is commonly used in trigonometry and geometry calculations.

Learn More

You can learn more about the CSC Google Sheets function on Google Support.