Right Triangle Trig

Right Triangle Trig

The field of mathematics called “Trigonometry” is the study of right triangles.

        SOH CAH TOA  

 $S\ \frac{O}{H\ }\ \ \ C\ \frac{A}{H}\ \ \ \ T\ \frac{O}{A}$  

 $\sin x\degree=\frac{opposite}{hypotenuse}\ \ \ \ \ \cos x\degree=\frac{adjacent\ }{hypotenuse}\ \ \ \tan x\degree=\frac{opposite}{adjacent}$  

SOH CAH TOA Story

A young Indian, frustrated by his inability to understand the geometric constructions of his tribe's battle dress, kicked out in anger against a stone and crushed his big toe. Fortunately, he learned from this experience, and began to use study and concentration to solve his problems rather than violence and injure himself. This was especially effective in his study of math, and he went on to become the wisest man of his tribe.

SOH CAH TOA Story Continued..

He studied many aspects of trigonometry; and even today we remember many of the functions by his name. When he became an adult, the tribal priest gave him a name that reflected his special nature -- one that reminded them of his great discoveries and of the event which changed his life. Because he was troubled throughout his life by the problematic toe that he injured by kicking the stone, he was constantly at the edge of the river, soaking his toe in the cooling waters. For that behavior, he was named Chief Soh Cah Toa.

Other Three Trig Functions

 $\csc x\degree=\frac{1}{\sin x\degree}\ \ \ \ \sec x\degree=\frac{1}{\cos x\degree}\ \ \ \ \cot x\degree=\frac{1}{\tan x\degree}$ 

 Basically you just flip the first three.