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First using the double angle formula;

2sinAcosA = sin(2A)

Therefore d/dA (sin2A) = cos(2A) * 2 = 2cos(2A)

We multiply by the two due to the chain rule, where we must multiply by the derivative of the angle.

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Q: How do you differentiate 2sinAcosA?
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Sin is sine. Cos is cosine. http://en.wikipedia.org/wiki/Sine_curve http://en.wikipedia.org/wiki/Cosine_curve In terms of trigonometric identities sin2A=2sinAcosA cos2A=cos2A-sin2A sin2A-cos2A=2sinAcosA-cos2A+sin2A === === sin(A) - cos(A) = sqrt(2)sin(A-45)


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