Answer
$$\left(1-\cos \left(t\right)\right)\left(1-\sin \left(t\right)\right)-\frac{\sin \left(2t\right)}{2}$$
Work Step by Step
Simplifying the expression using the Laws of Trigonometry, we find:
$$\left(1-\sin \left(t\right)\right)\left(1-\cos \left(t\right)\right)-\cos \left(t\right)\sin \left(t\right) \\ \left(1-\cos \left(t\right)\right)\left(1-\sin \left(t\right)\right)-\frac{\sin \left(2t\right)}{2}$$
