SOLUTION: solve sin(5x)cos(8x)-cos(5x)sin(8x)=-0.5 for the smallest positive solution. give answer accurate to two decimal places

Question 523582: solve sin(5x)cos(8x)-cos(5x)sin(8x)=-0.5 for the smallest positive solution.
give answer accurate to two decimal places
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
solve sin(5x)cos(8x)-cos(5x)sin(8x)=-0.5 for the smallest positive solution.
give answer accurate to two decimal places
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sin(5x)cos(8x)-cos(5x)sin(8x) = sin(5x - 8x)
= sin(-3x) = -sin(3x)
-sin(3x) = -0.5
sin(3x) = 0.5
3x = 30 degs
x = 10 degs

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