massmickley massmickley

06-01-2017
Mathematics

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Verify cos(180+x)=-cosx
Please note the 180 is in degrees.

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LammettHash LammettHash

06-01-2017

The angle sum identity for cosine says that

[tex]\cos(180^\circ+x)=\cos180^\circ\cos x-\sin180^\circ\sin x=-\cos x[/tex]

because [tex]\cos180^\circ=-1[/tex] and [tex]\sin180^\circ=0[/tex].

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