Consider f(z)=-12 sin z/20-10 cos zand use the Second Derivative Test to address the following prompts.Determine the value and location of any local minimum of f. Enter the solution in (z, f(z)) form. If multiple solutions exist, use a comma-separated list to enter the solutions.f has a local minimum at:f has no local minimum.Determine the value and location of any local maximum of f. Enter the solution in (z, f(z)) form. If multiple solutions exist, use a comma-separated list to enter the solutions.f has a local maximum at:f has no local maximum.