grimreaper505th grimreaper505th

01-07-2016
Mathematics

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

A-sin^2Θ
B-cos2Θ
C0
D-2sin(Θ)cos(Θ)-cos(Θ)+sin(Θ)-1

Verified Answer :

NiedzielnyMatematyk NiedzielnyMatematyk

03-07-2016

\((\sin\theta -\cos\theta) - (\sin\theta+\cos\theta)^2 = \sin\theta-\cos\theta+\\-(\sin^2\theta+\cos^2\theta+2\sin\theta\cos\theta) = \sin\theta-\cos\theta-(1+2\sin\theta\cos\theta)=\\=\boxed{-2\sin\theta\cos\theta-\cos\theta+\sin\theta-1}\)

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