12-02-2017
Mathematics

Answered

Find all solutions to the equation.

cos^2x + 2 cos x + 1 = 0

Verified Answer :

arthurpdc arthurpdc

12-02-2017

\(
\cos^2(x)+2\cos(x)+1=0\\\\
(\cos(x)+1)^2=0\\\\
\text{So:}\\\\
\cos(x)+1=0\\\\
\cos(x)=-1\\\\
\boxed{x=\pi+2k\pi},~k\in\mathbb{Z}\)

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Anonymous Anonymous

12-02-2017

Hope this helps you.

View image Anonymous

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