cos2α·cosα - sin2α·sinα
We can rewrite this expression using trigonometric identities:
cos2α·cosα - sin2α·sinαcos^2α·cosα - (1 - cos^2α)·sinαcos^3α - sinα + cos^3α·sinαcos^3α - sinα + cos^3α·sinα
Therefore, cos2α·cosα - sin2α·sinα simplifies to cos^3α - sinα + cos^3α·sinα.
cos2α·cosα - sin2α·sinα
We can rewrite this expression using trigonometric identities:
cos2α·cosα - sin2α·sinα
cos^2α·cosα - (1 - cos^2α)·sinα
cos^3α - sinα + cos^3α·sinα
cos^3α - sinα + cos^3α·sinα
Therefore, cos2α·cosα - sin2α·sinα simplifies to cos^3α - sinα + cos^3α·sinα.