SOLUTION: If x is a positive acute angle and cos x =√(3)/4, what is the exact value of sin x?

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Question 174951: If x is a positive acute angle and cos x =√(3)/4, what is the exact value of sin x?
Answer by Alan3354(69443) About Me  (Show Source):
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If x is a positive acute angle and cos x =√(3)/4, what is the exact value of sin x?
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sin^2 + cos^2 = 1
sin^2 = 1-cos^
sin^2 = 1 - (sqrt(3)/4)^2 = 1 - 3/16
sin^2 = 13/16
sin = sqrt(13)/4