Find the modulus and argument of the complex number $\; \large\frac{1}{1+i}$

Question

$(a)\;\large\frac{1}{\sqrt{2}} , -\large\frac{\pi}{4}\qquad(b)\;3 , \large\frac{\pi}{2}\qquad(c)\;\large\frac{1}{\sqrt{3}} , \large\frac{\pi}{4}\qquad(d)\;\large\frac{1}{\sqrt{2}} , \large\frac{\pi}{4}$