Editing Hypotenuse (section)

== Trigonometric ratios ==
By means of [[Trigonometry#Trigonometric ratios|trigonometric ratios]], one can obtain the value of two acute angles, <math>\alpha\,</math>and <math> \beta\,</math>, of the right triangle.

Given the length of the hypotenuse <math> c\,</math>and of a cathetus <math> b\,</math>, the ratio is:

[[File:Euklidova veta.svg|upright=1.35|right]]

:::<math> \frac{b}{c} = \sin (\beta)\,</math>

The trigonometric inverse function is:

:::<math> \beta\ = \arcsin\left(\frac {b}{c} \right)\,</math>
in which <math>\beta\,</math> is the angle opposite the cathetus <math> b\,</math>.

The adjacent angle of the catheti <math> b\,</math> is <math>\alpha\,</math> = 90° – <math>\beta\,</math>

One may also obtain the value of the angle <math>\beta\,</math>by the equation:

:::<math> \beta\ = \arccos\left(\frac {a}{c} \right)\,</math>

in which <math> a\,</math> is the other cathetus.