Definitions of Trigonometric Functions
Let t be a real number and let (x,y) be the point on the unit circle corresponding to t.
sin t = y csc t = 1/y y cannot =0
cos t = x sec t = 1/x x cannot =0
tan t = y/x cot t = x/y y cannot =0
In Other Words
SOHCAHTOA CHOSHACAO
sin = opp/hyp csc = hyp/opp
cos = adj/hyp sec = hyp/adj
tan =opp/adj cot = adj/hyp
Even and Odd Trigonometric Functions
The cosine and secant functions are even
cos(-t) = cos(t) sec(-t) = sec t
The sine, cosecant, tangent, and cotangent functions are odd.
sin(-t) = -sin(t) csc(-t) = sec(t)
tan(-t) = -tan(t) cot(-t) = -cot(t)
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