Creating and Manipulating Symbolic Expressions in Python
Creating symbolic expression in Python and then factoring, expanding, and simplifying the expressions
Plotting Expressions and Solving Equations Numerically in Python
Author: David Manuel
In this video, it is showin how to plot an expression in Python. Then to use the plot to help obtian numerical approximations of solutions.
Transcript 05
Transcript 05
Problem: Plot the expression \[50\tan(\theta)-\dfrac{13.61}{\cos(\theta)^2} = 0.\] Then solve the equation numerically.
Python Code:
from sympy import *
matplotlib notebook
theta=symbols('theta')
LHS=50*tan(theta)-13.61/(cos(theta))**2
plot(LHS,(theta,0,1.5),ylim=[-20,20])
angle1=nsolve(LHS,theta,0.3)
angle2=nsolve(LHS,theta,1.3)
print('The angle needed is',angle1*180/pi.evalf(),'or',angle2*180/pi.evalf(),'degrees')
Open Python Notebook File
from sympy import *
matplotlib notebook
theta=symbols('theta')
LHS=50*tan(theta)-13.61/(cos(theta))**2
plot(LHS,(theta,0,1.5),ylim=[-20,20])
angle1=nsolve(LHS,theta,0.3)
angle2=nsolve(LHS,theta,1.3)
print('The angle needed is',angle1*180/pi.evalf(),'or',angle2*180/pi.evalf(),'degrees')
Open Python Notebook File
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