SOLUTION: if 0 degrees < X degrees < 90 degrees and Sin X= 1/2, then Cos X=? i have the answer and the steps to this problem but i need it broken down and why, cause i absolutely don't u

Algebra ->  Trigonometry-basics -> SOLUTION: if 0 degrees < X degrees < 90 degrees and Sin X= 1/2, then Cos X=? i have the answer and the steps to this problem but i need it broken down and why, cause i absolutely don't u      Log On


   



Question 837580: if 0 degrees < X degrees < 90 degrees and Sin X= 1/2, then Cos X=?
i have the answer and the steps to this problem but i need it broken down and why, cause i absolutely don't understand how to get the answer i want to be able to understand how to do a problem like this.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
if 0 degrees < X degrees < 90 degrees and Sin X= 1/2, then Cos X=?
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By definition: sin = y/r
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Since sin(x) = 1/2, y = 1 and r = 2
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Therefore y = sqrt[2^2-1^2] = sqrt(3)
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Your Problem:
By definitiion: cos = x/r
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So cos(X) = x/r = sqrt(3)/2
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Cheers,
Stan H.
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