The following Python code obtains the trigonometric identity of cos(3x) by using Euler's formula.: from sympy import Symbol, E, I, re,sin,cos x=Symbol('x',real=True) a=E**(I*x) b=a.expand(complex=True) print(b) c=a**3 d=c.expand(complex=True).expand(trig=True) print(d) print(re(d)) f=c.expand(complex=True) print(re(f)) print((re(f)-re(d)).expand(trig=True)) Homework: Adapt the previous Python code to show the trigonometric identity of sin(5x)
The following Python code obtains the trigonometric identity of cos(3x) by using Euler's formula.: from sympy import Symbol, E, I, re,sin,cos x=Symbol('x',real=True) a=E**(I*x) b=a.expand(complex=True) print(b) c=a**3 d=c.expand(complex=True).expand(trig=True) print(d) print(re(d)) f=c.expand(complex=True) print(re(f)) print((re(f)-re(d)).expand(trig=True)) Homework: Adapt the previous Python code to show the trigonometric identity of sin(5x)
Computer Networking: A Top-Down Approach (7th Edition)
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Author:James Kurose, Keith Ross
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Chapter1: Computer Networks And The Internet
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The following Python code obtains the trigonometric identity of cos(3x) by using Euler's formula.:
from sympy import Symbol, E, I, re,sin,cos
x=Symbol('x',real=True)
a=E**(I*x)
b=a.expand(complex=True)
print(b)
c=a**3
d=c.expand(complex=True).expand(trig=True)
print(d)
print(re(d))
f=c.expand(complex=True)
print(re(f))
print((re(f)-re(d)).expand(trig=True))
Homework: Adapt the previous Python code to show the trigonometric identity of sin(5x)
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