import math

def square(x):
    return math.pow(x, 2)

def square_root(x):
    return math.sqrt(x)

def logarithm(x, base=math.e):
    return math.log(x, base)

def trigonometry(angle, operation):
    if operation == "sin":
        return math.sin(math.radians(angle))
    elif operation == "cos":
        return math.cos(math.radians(angle))
    elif operation == "tan":
        return math.tan(math.radians(angle))

def calculator():
    while True:
        print("\nSimple Calculator")
        print("1. Addition")
        print("2. Subtraction")
        print("3. Multiplication")
        print("4. Division")
        print("5. Square")
        print("6. Square Root")
        print("7. Logarithm")
        print("8. Sine")
        print("9. Cosine")
        print("10. Tangent")
        print("11. Exit")
        choice = int(input("Enter choice (1/2/3/4/5/6/7/8/9/10/11): "))
        if choice not in [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11]:
            print("Invalid choice. Please enter a number between 1 and 11.")
            continue
        if choice == 11:
            break
        num1 = float(input("Enter first number: "))
        if choice == 5:
            print("Square of", num1, "=", square(num1))
        elif choice == 6:
            print("Square root of", num1, "=", square_root(num1))
        elif choice == 7:
            base = float(input("Enter base (default is e): "))
            print("Logarithm of", num1, "to the base", base, "=", logarithm(num1, base))
        elif choice in [8, 9, 10]:
            angle = float(input("Enter angle in degrees: "))
            if choice == 8:
                operation = "sin"
            elif choice == 9:
                operation = "cos"
            elif choice == 10:
                operation = "tan"
            print(operation, "of", angle, "=", trigonometry(angle, operation))
        else:
            num2 = float(input("Enter second number: "))
            if choice == 1:
                print(num1, "+", num2, "=", add(num1, num2))
            elif choice == 2:
                print(num1, "-", num2, "=", subtract(num1, num2))
            elif choice == 3:
                print(num1, "*", num2, "=", multiply(num1, num2))
            elif choice == 4:
                print(num1, "/", num2, "=", divide(num1, num2))

calculator()