To simplify this expression, we can use the trigonometric identity:
cos^2(x) - sin^2(x) = cos(2x)
Therefore, the given expression can be rewritten as:
cos^2(x) - sin^2(x) - sin(x) = cos(2x) - sin(x)
So, the simplified expression is:
cos(2x) - sin(x)
To simplify this expression, we can use the trigonometric identity:
cos^2(x) - sin^2(x) = cos(2x)
Therefore, the given expression can be rewritten as:
cos^2(x) - sin^2(x) - sin(x) = cos(2x) - sin(x)
So, the simplified expression is:
cos(2x) - sin(x)