1.Consider the statements: (I) If f(x)=sin(cot−1(cos(tan−1x)))f(x) = \sin(\cot^{-1}(\cos(\tan^{-1} x)))f(x)=sin(cot−1(cos(tan−1x))), then f(0)=12f(0) = \frac{1}{2}f(0)=21. (II) sin(4tan−115−tan−11239)=1\sin\left(4\tan^{-1}\frac{1}{5} - \tan^{-1}\frac{1}{239}\right) = 1sin(4tan−151−tan−12391)=1. Then the correct option among the following isa.Both I and II are falseb.Both I and II are truec.I is true, but II is falsed.I is false, but II is trueLogin to continueOnly logged in users canattempt or see the solution.