How do you use the point (6,-9) on the terminal side of the angle to evaluate the six trigonometric functions?

1 Answer
Nghi N
Jan 8, 2017

Find values of trig functions

Explanation:

Consider the right triangle OmM.
Om = x = 6, and mM = y = - 9
Hypotenuse OM = sqrt(36 + 81) = sqrt117
Call t the angle <mOM
sin t = -9/(sqrt117)
cos t = 6/(sqrt117)
tan t = -9/6 = -3/2
cot t = 1/(tan) - 2/3
sec t = 1/(cos) = sqrt117/6
csc t = 1/(sin) = - sqrt117/9

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