use Euler’s identity, e^iθ = cos(θ) + (i)sin(θ), prove that sin(a + b) = sin(a)cos(b) + cos(a)sin(b)

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use Euler’s identity, e^iθ = cos(θ) + (i)sin(θ), prove that sin(a + b) = sin(a)cos(b) + cos(a)sin(b)

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