Answer
$$\left(\sqrt{2},\:\frac{\pi }{4}\right)$$
Work Step by Step
Converting the Cartesian coordinates to polar coordinates, we find:
$$r=\sqrt{1^2+1^2} \\ r=\sqrt{2} \\ AND\\ θ=\arctan \left(\frac{1}{1}\right) \\ θ=\frac{\pi }{4} \\ \text{Thus, it follows:} \\ \left(\sqrt{2},\:\frac{\pi }{4}\right)$$