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How do you find the values of the other trigonometric functions of θ from the information given #cos θ = − 5/8# , #tan θ < 0#?

1 Answer

Jun 16, 2015

cos x = -5/8. Find other trig functions.

Explanation:

#sin^2 x = 1 - cos^2 x = 1 - 25/64 = 39/64 = 0.61 -> sin x = 0.78#

#tan x = sin x/cos x = 0.78/-0.625 = -1.25#

#cot x = 1/-1.25 = - 0.80#

#sec x = 1/cos x = -8/5 = - 1.60#

#csc x = 1/ sin x = 1/0.78 = 1.28#

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