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29 October, 04:22

Simplify: (sin Θ - cos Θ) 2 + (sin Θ + cos Θ) 2

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  1. 29 October, 05:17
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    The answer is simply the number 2! Nice ...

    s = sin (angle), c=cos (angle) - do this in general and save some writing!

    (s+c) ^2 + (s-c) ^2 = s^2 + 2sc+c^2 + s^2 - 2sc+c^2 = 2 * (s^2+c^2) = 2*1=2!
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