SOLUTION: Using sum or difference formulas, find the exact value of sin(195∘). Express your answer in the form sin(195degrees)=a√(1−√b)/4 for some numbers a and b.

Algebra ->  Trigonometry-basics -> SOLUTION: Using sum or difference formulas, find the exact value of sin(195∘). Express your answer in the form sin(195degrees)=a√(1−√b)/4 for some numbers a and b.      Log On


   

Question 869666: Using sum or difference formulas, find the exact value of sin(195∘). Express your answer in the form sin(195degrees)=a√(1−√b)/4 for some numbers a and b.
Answer by stanbon(75887) About Me  (Show Source):
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Using sum or difference formulas, find the exact value of sin(195∘). Express your answer in the form sin(195degrees)=a√(1−√b)/4 for some numbers a and b.
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sin(195) = sin(150+45) = sin(150)*cos(45)+cos(150)*sin(45)
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Note: sin(150) = sin(30) = 1/2
cos(150) = -cos(30) = -sqrt(3)/2
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= (1/2)(sqrt(2)/2) + (1/2)sqrt(3)/2
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= (sqrt(2) + sqrt(3))/4
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Cheers,
stan H.
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