The code should be done in python

Harmonic pendulum trajectory The solution 0(t) = A cos(wt +) A = 1 +() o= - arctan for the harmonic pendulum depends on the frequency w and the initial conditions 60 = theta(that does the following: (0) and 10 = 2(0) = 0(0). Write a function 1. takes an array t of times as mandatory argument; 2. takes the mandatory argument omega to set the frequency 3. returns an array of the same size as t in which e(t) was evaluated for each element in t; 4. contains a doc string that briefly explains the function and the arguments that it takes; 5. takes an optional argument thetao with default value f/6; 6. takes an optional argument Omegao with default value 0. Harmonic pendulum trajectory The solution 0(t) = A cos(wt +) A = 1 +() o= - arctan for the harmonic pendulum depends on the frequency w and the initial conditions 60 = theta(that does the following: (0) and 10 = 2(0) = 0(0). Write a function 1. takes an array t of times as mandatory argument; 2. takes the mandatory argument omega to set the frequency 3. returns an array of the same size as t in which e(t) was evaluated for each element in t; 4. contains a doc string that briefly explains the function and the arguments that it takes; 5. takes an optional argument thetao with default value f/6; 6. takes an optional argument Omegao with default value 0