1.
Consider the statements: (I) If f(x)=sin(cot1(cos(tan1x)))f(x) = \sin(\cot^{-1}(\cos(\tan^{-1} x))), then f(0)=12f(0) = \frac{1}{2}. (II) sin(4tan115tan11239)=1\sin\left(4\tan^{-1}\frac{1}{5} - \tan^{-1}\frac{1}{239}\right) = 1. Then the correct option among the following is