Answer
$$-\sin \left(x\right)$$
Work Step by Step
Simplifying the expression using the sum and difference formulas, we find:
$$\cos \left(x\right)\cos \left(\frac{5\pi }{2}\right)-\sin \left(x\right)\sin \left(\frac{5\pi }{2}\right)\\ -\sin \left(x\right)$$