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).

Answers

Answer 1

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)

Related Questions

As a twist on the Hello World exercise, you are going to be the end user of the Hello class. This class is designed to greet the user in a variety of world languages. For this task, complete the following:
Use the Scanner class to ask the user for their name.
Create a Hello object by passing the name to the constructor.
Call at least 3 methods from the Hello class to print the greeting in 3 different languages.
Remember to write your code in the HelloTester class, but make sure you take a look at the Hello class so that you know the names of the methods you need to use.

Answers

Answer:

Here is the Hello class:

public class Hello { //class name

private String name; //to store the name

public Hello (String names) //parameterized constructor

{ name = names; }

public void English() { //method to greet user in english

System.out.print("Hello "); //displays Hello on output screen

System.out.print(name); //displays user name

System.out.println("!"); } //displays exclamation mark symbol

public void Spanish(){ //method to greet user in spanish

System.out.print("Hola "); //displays Hello on output screen

System.out.print(name); //displays user name

System.out.println("!"); } //displays exclamation mark symbol

public void French() { //method to greet user in french

System.out.print("Bonjour "); //displays Hello on output screen

System.out.print(name); //displays user name

System.out.println("!"); } } //displays exclamation mark symbol

Explanation:

Here is the HelloTester class:

import java.util.Scanner; //to accept input from user

public class HelloTester { //class name

public static void main (String[]args) { //start of main method

String name; //to store the name of user

Scanner input = new Scanner(System.in); //creates Scanner class object

System.out.println("Enter name?" ); //prompts user to enter name

name = input.nextLine(); //scans and reads the name from user

Hello hello = new Hello(name); //creates Hello class object and calls constructor by passing name

hello.English(); //calls English method using object hello to greet in english

hello.Spanish(); //calls Spanish method using object hello to greet in spanish

hello.French(); } } //calls French method using object hello to greet in french

The output of the program is:

Enter name? user Hello user! Hola user! Bonjour user!

The screenshot of the program along with its output is attached.

Java Program:

Java is one of the most popular programming languages that is being widely used in the IT industry. It is simple, robust, and helps us to reuse the code.

The required program is,

\\import java.util.Scanner;

class Hello

{

private String name;

public Hello(String yourName)

{

name=yourName;

}

public void english()

{

System.out.print("Hello ");

System.out.print(name);

System.out.println("!");

}

public void spanish()

{

System.out.print("Holla ");

System.out.print(name);

System.out.println("!");

}

public void french()

{

System.out.print("Bonjour ");

System.out.print(name);

System.out.println("!");

}

public void german()

{

System.out.print("Hallo ");

System.out.print(name);

System.out.println("!");

}

public void russian()

{

System.out.print("Privet ");

System.out.print(name);

System.out.println("!");

}

public void chinese()

{

System.out.print("Ni hao ");

System.out.print(name);

System.out.println("!");

}

public class HelloTester

{

public static void main(String[] args)

{

Scanner input=new Scanner(System.in);

String name;

//Accepting the name

System.out.print("\nEnter your name: ");

name=input.next();

/creating an object of Hello class

Hello hello=new Hello(name);

System.out.println("\nGreeting in English: ");