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lorasvet [3.4K]
3 years ago
11

The trigonometry book says: sin^2(t) + cos^2(t) = 1 Write a Python program that verifies the formula with the help of the Python

Math module. Note that the trigonometric functions in the module act on the angles in radians. Your program should perform the following steps 3 times: 1. Pick a random number between 0 and 180 degrees representing an angle in degrees, say Dangle 2. Convert the angle from degrees to radians, say Rangle 3. Use the Math module to find and print the values of sin(Rangle) and cos(Rangle), and 4. Compute and print the value of the above expression: sin^2(Rangle) + cos^2(Rangle). You can then visually verify if the result printed is 1 (or close to it).
Computers and Technology
1 answer:
MAXImum [283]3 years ago
6 0

Answer:

If you open your python-3 console and execute the following .py code you will have the following output. (Inputing 20 e.g)

Write the angles in degrees: 20

radian angles is:  0.3490658503988659

cosene( 0.3490658503988659 ) =  0.9396926207859084

sine( 0.3490658503988659 ) =  0.3420201433256687

sin^2( 0.3490658503988659 ) + cos^2( 0.3490658503988659 ) =  1.0

Explanation:

Code

import math

for i in range(1,4):

   angle = int(input('Write the angles in degrees: '))

   #mat library better works with radians

   angle_radians = (angle*math.pi)/180

   #print output

   print('radian angles is: ',angle_radians)

   print('cosene(',angle_radians,') = ',math.cos(angle_radians))

   print('sine(',angle_radians,') = ',math.sin(angle_radians))

   res = (math.sin(angle_radians))**2 + (math.cos(angle_radians))**2

   print('sin^2(',angle_radians,') + cos^2(',angle_radians,') = ',res)

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See attachment for sample output

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<em>The program written in Python is as follows:</em>

def solution(N):

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     for i in range(1,N+1):

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           else:

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                       concat= concat+"Codility"

                 if i%3 == 0:

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                 if i%5 == 0:

                       concat= concat+"Coders"

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Explanation:

This line declares the function

def solution(N):

This line initializes a variable named concat to an empty string

     concat = ""

This line iterates from 1 to the input integer

     for i in range(1,N+1):

<em>This line checks if the current number of iteration is divisible by 2,3 or 5, if no, the number is printed</em>

           if not(i%2 == 0 or i%3 ==0 or i%5 == 0):

                 print(str(i))

<em>If otherwise</em>

           else:

<em>This lines checks if current number is divisible by 2; if yes the string "Codility" is concatenated to string concat</em>

                 if i%2 == 0:

                       concat= concat+"Codility"

<em>This lines checks if current number is divisible by 3; if yes the string "Testers" is concatenated to string concat</em>

<em>                 </em> if i%3 == 0:

                       concat= concat+"Testers"

<em>This lines checks if current number is divisible by 2; if yes the string "Coders" is concatenated to string concat</em>

                 if i%5 == 0:

                       concat= concat+"Coders"

<em>The concatenated string is printed using this line</em>

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This variable concat is intialized back to an empty string

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The main method starts here

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This line calls the defined function solution

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