Let f(x) = sin(x) cot(x) (15 points) a. Find -f(x) b. True or False: f(x) = cos(x) for all x c. Use full sentences to explain why the function you found in part a is almost the opposite (negative) of the sine function (Hint: rewrite f(x) in terms of sine and cosine and carefully consider the domains of f(x) and f' (x).)