Question

Use basic identities to simplify the expression. cos θ - cos θ sin2θ

Answer 1

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.

Answer 2

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.