SOLUTION: Find sin(u/2) given that tan(u)=12.287

Question 1002349: Find sin(u/2) given that tan(u)=12.287
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Find sin(u/2) given that tan(u)=12.287
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By definition, tan = y/x
So, y = 12.287 and x = 1
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Then r = sqrt[12.287^2 + 1^2] = sqrt[151.97] = 12.327
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Therefore: cos(u) = x/r = 1/12.327
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Your Problem::
sin(u/2) = sqrt[(1-cos(x))/2]
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Ans: sin(u/2) = sqrt[0.9189/2] = 06778
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Cheers,
Stan H.
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