How do you find all six trigonometric function of #theta# if the point (-3,-4) is on the terminal side of #theta#?

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How do you find all six trigonometric function of #theta# if the point (-3,-4) is on the terminal side of #theta#?

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Answer 1 · 2017-04-24T14:00:42

The terminal side of arc (or angle) t is in Quadrant 3. Its tan is positive.
#tan t = y/x = (-4)/-3 = 4/3#
#cot t = 1/(tan) = 3/4#
#cos^2 t = 1/(1 + tan^2 t) = 1/(1 + 16/9) = 9/25#
#cos t = - 3/5# (cos t negative because t is in Q. 3)
#sin t = cos t.tan t = (-3/5)(4/3) = - 4/5#
#sec t = 1/(cos) = - 4/3#
#csc t = 1/(sin) = - 5/4#

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How do you find all six trigonometric function of #theta# if the point (-3,-4) is on the terminal side of #theta#?

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