SOLUTION: If x is a positive angle smaller than 90° and cos(x) = 1/3, then sin(x) = A) 2/3 B) 2√2 / 3 C) √2 D) 8/9 E) 4/9

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Question 378343: If x is a positive angle smaller than 90° and cos(x) = 1/3, then sin(x) =
A) 2/3
B) 2√2 / 3
C) √2
D) 8/9
E) 4/9
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
If x is a positive angle smaller than 90° and cos(x) = 1/3, then sin(x) =
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sin%5E2%28x%29+%2B+cos%5E2%28x%29+=+1
sin%28x%29+=+sqrt%281+-+cos%5E2%28x%29%29+=+sqrt%281+-+1%2F9%29+=+sqrt%288%2F9%29
sin%28x%29+=+2sqrt%282%29%2F3
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PS Giving the choices is a waste of time.