Question

How to use unit circle to evaluate the six trig functions of theta

Answer 1

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:


`cos(x) = x-value`

`sin(x) = y-value`

`tan(x) = (sin(x))/(cos(x))`

`csc(x) = (1)/(sin(x))`

`sec(x) = (1)/(cos(x))`

`cot(x) = (1)/(tan(x)) = (cos(x))/(sin(x))`

And you are done!