SOLUTION: find a numerical value for cos(x) if the following equation is true: (1/ cot(x)) - (sec (x)/csc(x)) = cos (x)

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Question 1012593: find a numerical value for cos(x) if the following equation is true: (1/ cot(x)) - (sec (x)/csc(x)) = cos (x)
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
From
(1/ cot(x)) - (sec (x)/csc(x)) = cos (x)
let's express everything in sines and cosines...
(1/(cos/sin) - (1/cos / 1/sin) = cos
sin(x)/cos(x) - sin(x)/cos(x) = cos x
cos x = 0
x = 90 or 270 degrees or pi/2 or 3pi/2 radians