Use Python to solve each problem.

a) To show that sin(2x) = 2 sin(x) is NOT an identity, plot the function f(x) = sin(2x) - 2 sin(x) on the domain re [0, 21), noting that it is NOT always zero! b) Use Python to find the values of x where f(x) = 0 (you may be able to verify your results from the graph in part a)). c) Notice the graph of f has a maximum and minimum value on (0, 2). To find the x-values at these points, solve the equation 2 cos(2.x) - 2 cos(x) = 0 (you will learn why later this semester. Also, it is OK if you get solutions outside the domain-just ignore them)