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How do you find the value of cotθ if cosθ = -4/5?

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May 19, 2015

First, find sin x.

#sin^2 x = 1 - cos^2 x = 1 - 16/25 = 9/25 -> sin x = +-3/5#

#cos x = -4/5#, then x is in Quadrant II, sin x is positive# (3/5)#

#cot x = cos x /sin x = (-4/5):(3/5) = -4/3#

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