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HOW TO: Find the Secant, Cosecant, or Cotangent of an Angle in Excel 2000

This article was previously published under Q213887
For a Microsoft Excel 97 and earlier version of this article, see 188075.


Microsoft Excel 2000 has built-in functions for a large number of trigonometric functions but does not include all such functions. However, you can derive functions from existing functions by using an Excel formula.

Some functions that you can derive from built-in Excel functions include the following:
  • Secant (SEC)
  • Cosecant (CSC)
  • Cotangent (COT)
These functions are the inverse of the cosine, sine, and tangent, respectively.

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Formulas for Derived Trigonometric Functions

To calculate these additional functions, use the following formulas, where angle is the measure of the angle in radians:
SEC(angle) = 1/COS(angle)

CSC(angle) = 1/SIN(angle)

COT(angle) = 1/TAN(angle)
For example, to find the cotangent of a 30-degree angle, use the followingformula:
NOTE: Trigonometric functions in Excel must use angles measured in radians rather than in degrees. To convert an angle from degrees to radians, multiply the angle in degrees by PI()/180.

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For more information about trigonometric functions, click Microsoft Excel Help on the Help menu, type trigonometric functions in the Office Assistant or the Answer Wizard, and then click Search to view the topics returned.

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Article ID: 213887 - Last Review: 09/27/2003 14:08:22 - Revision: 3.1

  • Microsoft Excel 2000 Standard Edition
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