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massmickley massmickley
  • 06-01-2017
  • Mathematics
Answered

Verify cos(180+x)=-cosx

Please note the 180 is in degrees.

Verified Answer :

LammettHash
LammettHash LammettHash
  • 06-01-2017

The angle sum identity for cosine says that

\(\cos(180^\circ+x)=\cos180^\circ\cos x-\sin180^\circ\sin x=-\cos x\)

because \(\cos180^\circ=-1\) and \(\sin180^\circ=0\).

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