Remember SOH CAH TOA for RIGHT TRIANGLES only!
[tex]sin = \frac{opposite}{hypotenuse}[/tex]
[tex]cos = \frac{adjacent}{hypotenuse} [/tex]
[tex]tan = \frac{opposite}{adjacent}=\frac{sin}{cos}[/tex]
Cosecant is the reciprocal of sin.
[tex]csc = \frac{hypotenuse}{opposite} [/tex]
Secant is the reciprocal of cos.
[tex]sec = \frac{hypotenuse}{adjacent} [/tex]
Cotangent is the reciprocal of tan.
[tex]cot = \frac{adjacent}{opposite} = \frac{cos}{sin}[/tex]
For a circle whose center is the origin and with radius r:
[tex]sin = \frac{y}{r}
[/tex]
[tex]
cos = \frac{x}{r}
[/tex]
[tex]tan = \frac{y}{x}[/tex]
[tex]csc = \frac{r}{y} [/tex]
[tex]sec = \frac{r}{x} [/tex]
[tex]cot = \frac{x}{y} [/tex]
