SOLUTION: Find sin(2x), cos(2x), and tan(2x) from the given information. cos(x) = 12/13, csc(x) < 0

Algebra ->  Trigonometry-basics -> SOLUTION: Find sin(2x), cos(2x), and tan(2x) from the given information. cos(x) = 12/13, csc(x) < 0      Log On


   

Question 1162181: Find sin(2x), cos(2x), and tan(2x) from the given information.
cos(x) = 12/13, csc(x) < 0
Answer by Alan3354(69443) About Me  (Show Source):
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---------------------------------------Find sin(2x), cos(2x), and tan(2x) from the given information.
cot(x) = 2/3, x in Quadrant I
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cot(x) = 2/3
tan(x) = 3/2
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tan = y/x
r+=+sqrt%28x%5E2+%2B+y%5E2%29+=+sqrt%2813%29
==========================
sin(x) = y/r
cos(x) = x/r
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sin(2x) = 2*sin(x)*cos(x)
cos(2x) = sqrt(1 - sin^2(x))
tan(2x) = sin(2x)/cos(2x)