SOLUTION: 42. use half angle formula to find cos sin and tan of 67 degrees and 30'

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Question 174457: 42. use half angle formula to find cos sin and tan of 67 degrees and 30'
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
use half angle formula to find cos sin and tan of 67 degrees and 30'
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sin(67 30') = sin(135/2)
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Formula: sin(135/2) = sqrt[(1-cos(135))/2]
= sqrt[(1-(1/sqrt(2))/2] = sqrt[0.85355..]= 0.92388
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cos(67 30') = cos(135/2)
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Formula: cos(135/2) = sqrt[(1+cos(135))/2]
= sqrt[0.146447] = 0.38268..
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tan(67 30') = tan(135/2)
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Formula: tan(135/2) = (1-cos(135))/2 = 0.85355...
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Cheers,
Stan H.

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