Question 69491
Theta = x
If x is an acute angle with cos x = 1/9, find the exact value of sin a/2.
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COMMENT: I'm going to assume your "sin a/2" should be sin x/2.
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sin(x/2) = sqrt[(1-cos(x))/2]
sin(x/2) = sqrt[(1-(1/9))/2]
sin(x/2) = sqrt[8/18]=sqrt(4/9)=2/3
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Cheers,
Stan H.