SOLUTION: sin x = negative 5 divided by 13 (pie < x

SOLUTION: sin x = negative 5 divided by 13 (pie < x < 3pie divided by 2) find sin 2x

Question 257834: sin x = negative 5 divided by 13 (pie < x < 3pie divided by 2) find sin 2x
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
sin x = negative 5 divided by 13 (pie < x < 3pie divided by 2) find sin 2x
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if sin(x) = -5/13, y = -5 and r = 13 ;
then x = sqrt(13^2 - 5^2) = sqrt(144) = 12
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But x is in the 3rd quadrant so x = -12
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Therefore cos(x) = -12/13
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Your Problem:
sin(2x) = 2sin(x)cos(x) = 2(-5/13)(-12/13) = 0.71
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Cheers,
Stan H.

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