Question 824066
3sin(x) + sin(x)*cos(x) = 2cos(x)
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3sin(x) + sin(x)cos(x) -2cos(x) = 0
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3sin(x) + 3sin(x)cos(x)-2sin(x)cos(x) - 2cos(x) = 0
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Rearrange:
3sin(x)-2sin(x)cos(x) + 3sin(x)cos(x)-2cos(x) = 0
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Factor:
sin(x)[3-2cos(x)] + cos(x(3-2cos(x) = 0
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(3-2cos(x)(sin(x)+cos(x) = 0
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cos(x) = 3/2 (that is extraneous)
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sin(x) = -cos(x) 
x = 135 degrees or (3/4)pi radians
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4sin(x)-sin(2x) = 3
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Graphing I get x = 67.73.. degrees = 1.182.. radians
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Cheers,
Stan H.