$4.$ Complex arithmetic and trig functions

Euler's formula says ei$=$cos$+$isin$.$

$($a$)(5$ points$)$ What does this give for $=$n$/2$ for n$=0,1,2...?$ Write a program to verify Euler's formula by calculating and comparing both sides of this equation by looping over a range of integer values for n$.$ Import exp, pi$,$ cos and sin from numpy as usual. $($b$)(5$ points$)$ Euler's formula is valid for complex $\text{'}$s as well $-$ check this by asking the user to input a complex number $.$ Compare what you get to what you would expect from a calculation. In python $3$ please