Create a menu-driven program using user-defined functions to implement a calculator that performs the following:

(a) Basic arithmetic operations (+, −, *, /)

(b) log₁₀(x), sin(x), cos(x)

import math

def arithmetic_operations():
    print("Select operation:")
    print("1. Addition (+)")
    print("2. Subtraction (-)")
    print("3. Multiplication (*)")
    print("4. Division (/)")

    choice = input("Enter choice (1/2/3/4): ")

    num1 = float(input("Enter first number: "))
    num2 = float(input("Enter second number: "))

    if choice == '1':
        print("Result:", num1 + num2)
    elif choice == '2':
        print("Result:", num1 - num2)
    elif choice == '3':
        print("Result:", num1 * num2)
    elif choice == '4':
        if num2 != 0:
            print("Result:", num1 / num2)
        else:
            print("Error: Division by zero is not allowed.")
    else:
        print("Invalid input")
        
def mathematical_functions():
    print("Select function:")
    print("1. Logarithm base 10 (log10)")
    print("2. Sine (sin)")
    print("3. Cosine (cos)")

    choice = input("Enter choice (1/2/3): ")

    
    if choice == '1':
        num = float(input("Enter a number for log10: "))
        if num > 0:
            print("Result:", math.log10(num))
        else:
            print("Error: Logarithm is defined for positive numbers only.")
    elif choice == '2':
            angle = float(input("Enter the angle in degrees: "))
            radians = math.radians(angle)
            print("Result:", math.sin(radians))
    elif choice == '3':
            angle = float(input("Enter the angle in degrees: "))
            radians = math.radians(angle)
            print("Result:", math.cos(radians))
    else:
            print("Invalid input")

while True:
    print("\nCalculator Menu:")
    print("1. Basic Arithmetic Operations")
    print("2. Mathematical Functions")
    print("3. Exit")

    choice = input("Enter choice (1/2/3): ")

    if choice == '1':
        arithmetic_operations()
    elif choice == '2':
        mathematical_functions()
    elif choice == '3':
        print("Exiting the program.")
        break
    else:
        print("Invalid input. Please choose again.")

Calculator Menu:
1. Basic Arithmetic Operations
2. Mathematical Functions
3. Exit
Enter choice (1/2/3): 1
Select operation:
1. Addition (+)
2. Subtraction (-)
3. Multiplication (*)
4. Division (/)
Enter choice (1/2/3/4): 2
Enter first number: 34
Enter second number: 7
Result: 27.0

Calculator Menu:
1. Basic Arithmetic Operations
2. Mathematical Functions
3. Exit
Enter choice (1/2/3): 2
Select function:
1. Logarithm base 10 (log10)
2. Sine (sin)
3. Cosine (cos)
Enter choice (1/2/3): 1
Enter a number for log10: 24
Result: 1.380211241711606

Calculator Menu:
1. Basic Arithmetic Operations
2. Mathematical Functions
3. Exit
Enter choice (1/2/3): 3
Exiting the program.