All you need to know is that sin(x) is the y-value of the coordinate point and cos(x) is the x-value of the coordinate point. From here, tan(x) is just sin(x)/cos(x).
That's three of them already. sec(x) is 1/cos(x), csc(x) = 1/sin(x) and cot(x) = 1/tan(x).
Just to recap:
[tex]cos(x) = x-value[/tex]
[tex]sin(x) = y-value[/tex]
[tex]tan(x) = \frac{sin(x)}{cos(x)} [/tex]
[tex]csc(x) = \frac{1}{sin(x)} [/tex]
[tex]sec(x) = \frac{1}{cos(x)} [/tex]
[tex]cot(x) = \frac{1}{tan(x)} = \frac{cos(x)}{sin(x)} [/tex]
And you are done!
