The profile of a cam in a particular zone is given by \(x=\sqrt{3} \cos \theta\) and \(y=\sin \theta\). The normal to the cam profile at \(\theta=\frac{\pi}{4}\) is at an angle (with respect to \(x\) axis)

(a) \(\frac{\pi}{4}\)

(b) \(\frac{\pi}{2}\)

(c) \(\frac{\pi}{3}\)

(d) 0 .