Consider equation (x−sin⁡α)(x−cos⁡α)−2=0. Which of the following is/are true?

Let f(x)=(x−sin⁡α)(x−cos⁡α)−2.Then, f(sin⁡α)=−2<0 and f(cos⁡α)=−2<0.So, sin⁡α and cos⁡α lie between the roots.For 0<α<π4,sin⁡α