The angle x is in the 3rd quadrant, so the value of the
function sine is negative, but the values of teh functions tangent and cotangent are
positive.
We'll apply the fundamental formula of
trigonometry:
(sin x)^2 + (cos x)^2
=1
(sin x)^2 = 1 - (cos
x)^2
(sin x)^2 = 1 -
(-4/5)^2
(sin x)^2 = 1 -
16/25
(sin x)^2 = 9/25
sin x =
-3/5
tan x = sin x/cos x
tan x
= -3/5/-4/5
sin x = -3/5, tan x = 3/4 and cot
x = 4/3
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