Identifying cos^2 (wt+θ) in Signals Example Problem

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SUMMARY

The discussion focuses on the trigonometric identity for cos^2(wt + θ), which is correctly expressed as cos^2(wt + θ) = [1 + cos(2wt + 2θ)]/2. A participant points out a common misconception regarding the identity, clarifying that the correct form involves a factor of 1/2. The identity cos(2x) = 2cos^2(x) - 1 is also referenced to illustrate the relationship between cosine functions and their squared forms.

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Peon666
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While seeing a signals example problem, I encountered this:

cos^2 (wt+θ) = [1+cos(2wt+2θ)]

What identity is this?
 
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That doesn't seem right. Looks like they missed a factor of 2:

cos(2x) = 2cos^2(x) - 1
 

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