Verified Answer :

The
simplified form of the equation cos θ - cos θ sin2θ is cos3θ. I am hoping that this answer has
satisfied your query about and it will be able to help you, and if you’d like,
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Answer:

Step-by-step explanation:

The given expression is:

\(cos{\theta}-cos{\theta}sin2{\theta}\)

Using \(sin2{\theta}=2sin{\theta}cos{\theta}\), we get

\(cos{\theta}-cos{\theta}(2sin{\theta}cos{\theta})\)

\(cos{\theta}-2sin{\theta}cos^2{\theta}\)

Taking \(cos{\theta}\) common, we have

\(cos{\theta}(1-2sin{\theta}cos{\theta})\)

which is the required simplified form.

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