SOLUTION: If the following equation is given, what is the value of sec(x)?
(cot(x)/tan(x)) - (csc(x)/sin(x)) = (2/sec(x))
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Question 1013502: If the following equation is given, what is the value of sec(x)?
(cot(x)/tan(x)) - (csc(x)/sin(x)) = (2/sec(x))
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
If the following equation is given, what is the value of sec(x)?
(cot(x)/tan(x)) - (csc(x)/sin(x)) = 2/sec(x)
cot^2 - csc^2 = 2/sec
cos^2/sin^2 - 1/sin^2 = 2/sec
(cos^2 - 1)/sin^2 = 2/sec
(cos^2 - 1)/(1 - cos^2) = 2/sec
2/sec = -1
sec(x) = -2
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