Trignometry Visualisation In Jupyter notebook Python

In this blog, we are going to learn how to visualize trigonometry functions

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Githublink

First we are going to import numpy , matplotlib and ipywidget  for mathematical calculation,graph plotting and making slider in jupyter notebook respectively

then we will define a funciton f which contain two parameter r and t (radius and theta)

then we have defined our figsize (4,8)

Since we are going to plot two graph then we are going to use subplot

in subplot you will see (211) it means that we have 2 graph 1 colum and 1st row .This basically tells our first subplot graph location 

in case of (212) it means that we have 2 graph 1 colum and 2nd row .This basically tells our first subplot graph location 

then th basically it is going to use for plotting our circle for more information please watch this video 

x and y variable are base triangle and height of triangle length respectively

Then I plot a circle graph and triangle on the same graph

in next subplot i basically define a simple sin graph 

here you notice this code 

theta = np.linspace(0,t,360)

it means that sin graph start from 0 and end to t (define by slider) , here 360 represent 360 points between 0 and t

Then  s = r*np.sin(np.radians(theta))

here you notice radians by convention whatever value you give to python it give output as radians but we want in degrees for that reason we have np.radians(i know you think its opposite need to be write but this is how it works)

After that i plot both these graph

import matplotlib.pyplot as plt

import numpy as np

from ipywidgets import interactive

def f(r,t):

    g = plt.figure(figsize=(4,8))

    ax = g.add_subplot(211)

    ax2 = g.add_subplot(212)

    th =np.linspace(0,360,360)

    x= r *np.sin(np.radians(t))

    y =r *np.cos(np.radians(t))

   

    a =([0,x,x,0])

    b =([0,0,y,0])

    c = r *np.sin(np.radians(th))

    d = r *np.cos(np.radians(th))  

    plt.xlabel('angle')

    ax.plot(a,b,c,d)

    

    

    theta = np.linspace(0,t,360)

    s = r*np.sin(np.radians(theta))

    ax2.plot(theta,s)

    

    #plt.axis('equal')

    plt.tight_layout()

    print("base length of triangle",x)

    print('height of the traingle',y)

    print('Hypotenuse of the traingel',np.sqrt(x**2+y**2))

interactive_plot = interactive(f,r=(5,30),t = (0,360))

interactive_plot