Rotation and to radian function example for complex number with python

import math
import cmath

def to_rad(deg):
    return deg*math.pi/180

p1=[3,8]
p2=[13,8]
p2a=[p2[0]-p1[0],p2[1]-p1[1]]
print(p1,p2,p2a)
z2=complex(p2a[0],p2a[1])
zr1=complex(1/2,3**(1/2)/2)
zr2=complex(1/2,-3**(1/2)/2)

z31=z2*zr1
z32=z2*zr2

print(z31.real+p1[0],z31.imag+p1[1])
print(z32.real+p1[0],z32.imag+p1[1])
print(z2.real)
print(z2.imag)

[3, 8] [13, 8] [10, 0]
8.0 16.660254037844386
8.0 -0.6602540378443855
10.0
0.0

Refs.

http://www.geisya.or.jp/~mwm48961/koukou/rotation1.htm
https://note.nkmk.me/python-complex/
https://qiita.com/shuhei/items/f5cf6c83fcfb5dd24c2d
https://www.ajaxtower.jp/js/math_class/index10.html
https://juken-mikata.net/how-to/mathematics/radian.html