Factor the algebraic expression below in terms of a single trigonometric function

Question

Factor the algebraic expression below in terms of a single trigonometric function:

Cos x - sin^2 x - 1

Answer 1

1. Identity: sin²(x) + cos²(x) = 1
2. cos(x)-(1-cos²(x))-1
3. cos²(x)+cos(x)-2
4. (cos(x)+2)(cos(x)-1)