Let � be an angle in standard position and the point

Question

(a, b) be the point of intersection of the terminal
side of � with the unit circle. State the unit circle
definitions of the six trigonometric functions.
cos� = sec� =
sin� = csc� =
tan� = cot� =

Answer 1

If Ø is your angle, and since
r=√(a^2 + b^2)

sinØ = b/r
cscØ = r/b

cosØ = a/r
secØ = r/a

tanØ = b/a
cotØ = a/b

These definitions should be in your textbook and are probably defined in terms of x, y and r.
You should memorize them