spikeblaster01ot3orx spikeblaster01ot3orx

01-08-2017
Mathematics

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

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sergibcnusa sergibcnusa

01-08-2017

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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