You can put this solution on YOUR website! Find the exact value of the expression sin 165 degrees
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sin(165) = sin(180-15)
= sin(180)*cos(15)-cos(180)*sin(15)
= 0*cos(15) - (-1)sin(15)
= sin(15)
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= sin(60-45)
= sin(60)*cos(45)-cos(60)*sin(45)
= (sqrt(3)/2)(sqrt(2)/2) - (1/2)(sqrt(2)/2)
= sqrt(6)/4 - sqrt(2)/4
= (sqrt(6)-sqrt(2))/4
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Cheers,
Stan H.
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