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Find the exact value of cos 195?

Updated: 4/28/2022
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cos(195) = -0.965925826289

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Q: Find the exact value of cos 195?
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Cos 195 degree use the trigonometry functions of quadrantal angles and special to find the exact value?

cos(195) = cos(180 + 15) = cos(180)*cos(15) - sin(180)*sin(15) = -1*cos(15) - 0*sim(15) = -cos(15) = -cos(60 - 45) = -[cos(60)*cos(45) + sin(60)*sin(45)] = -(1/2)*sqrt(2)/2 - sqrt(3)/2*sqrt(2)/2 = - 1/4*sqrt(2)*(1 + sqrt3) or -1/4*[sqrt(2) + sqrt(6)]


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