SOLUTION: 2cos(x) - sec(x) = 1 My work i dont know if this is right?? 2cos(x) - (1/cos(x))=1 2cos(x^2) -1 / cos =1 -2sin(x^2) /cos =1 i do not know where to go from there

Algebra ->  Trigonometry-basics -> SOLUTION: 2cos(x) - sec(x) = 1 My work i dont know if this is right?? 2cos(x) - (1/cos(x))=1 2cos(x^2) -1 / cos =1 -2sin(x^2) /cos =1 i do not know where to go from there       Log On


   



Question 704567: 2cos(x) - sec(x) = 1
My work i dont know if this is right??
2cos(x) - (1/cos(x))=1
2cos(x^2) -1 / cos =1
-2sin(x^2) /cos =1
i do not know where to go from there

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
2cos(x) - sec(x) = 1
My work i dont know if this is right??
2cos(x) - (1/cos(x))=1
2cos(x^2) -1 / cos =1
*************It's not x^2, it's cos^2*************
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2cos^2 - 1 = cos
2cos^2 - cos - 1 = 0
(2cos + 1)*(cos - 1) = 0
cos = 1
x = 0 + n*180 degs, n = +/1 0,1,2,3...
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2cos = -1
x = 120 + n*360 n = +/1 0,1,2,3...
x = 240 + n*360 n = +/1 0,1,2,3...