Respuesta :

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, feel free to ask another question.

boffeemadrid

Answer:

Step-by-step explanation:

The given expression is:

[tex]cos{\theta}-cos{\theta}sin2{\theta}[/tex]

Using [tex]sin2{\theta}=2sin{\theta}cos{\theta}[/tex], we get

[tex]cos{\theta}-cos{\theta}(2sin{\theta}cos{\theta})[/tex]

[tex]cos{\theta}-2sin{\theta}cos^2{\theta}[/tex]

Taking [tex]cos{\theta}[/tex] common, we have

[tex]cos{\theta}(1-2sin{\theta}cos{\theta})[/tex]

which is the required simplified form.