Simplify and write the trigonometric expression in terms of sine and cosine:
sinx+cotxcosx=1f(x)\displaystyle {\sin{{x}}}+{\cot{{x}}}{\cos{{x}}}={\frac{{{1}}}{{{f{{\left({x}\right)}}}}}}
f(x)=\displaystyle {f{{\left({x}\right)}}}=   .