Asked by Anonymous

Let  be an angle in standard position and the point
(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 =

Answers

Answered by Reiny
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

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