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Using Euler's equation {e^i(x+y) = e^(ix) * e^(iy)prove (1) sin x + sin y =...

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Using Euler's equation {e^i(x+y) = e^(ix) * e^(iy)prove (1) sin x + sin y = 2sin{(x + y)/2} * cos{(x - y)/2}(2) sin x cos y = {sin(x + y) + sin( x - y)} / 2(3) cos x cos y = {cos(x + y) - cos(x - y)} / 2

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