How to Calculate Arcsec

••• Jupiterimages/ Images

Arcsec is a notation for the trigonometric function “arcsecant.” The function arcsec(z) takes an argument (denoted as “z”) and finds the angle magnitude. The argument for arcses is a “secant” function (abreviated as “sec”) value. If we consider a right triangle, the secant function is defined by the ratio of the hypotenuse length to the adjacent side length that is reverse to the cosine definition. Thus, cosine(angle)=1/ secant(angle).

    Divide “1” by the argument “z” of the arcsec(z) function. Note, that “z” is equal to secant(angle) and 1/z is cosine (angle). For example, if arcsec(4) then cosine is “1/4” value or 0.25.

    Using a calculator, calculate the arccosine (arccos) function of “1/z” to get arcsec(z). Angle=arcsec(z)= arccos(1/z). In the example, arcsec(4)= arccos(0.25)=75.52 degrees.

    Calculate arcsecant if the function is given as arcsec(sec(Z)) e.g. arcsec(sec(45)). In such a case you do not need to calculate the secant value and then follow Steps 1 and 2. Instead, get an instant answer: arcsec equals Z. In this example, arcsecant of sec(45) is 45.

About the Author

This article was written by a professional writer, copy edited and fact checked through a multi-point auditing system, in efforts to ensure our readers only receive the best information. To submit your questions or ideas, or to simply learn more, see our about us page: link below.

Photo Credits

  • Jupiterimages/ Images

Dont Go!

We Have More Great Sciencing Articles!