Question

The Taylor expansion of the function sin(x) around the point x 0 is given by: sinCrx35 sin(x) = χ--+ +-.. Write a C+program that takes a real value of x and computes the sine of that number (up to a uld output the response scientific format. Your program should keep taking numbers from the user until a sentinel value of your choice is input by the user.

Without the use of array, classes etc. Only allowed to use for loop, while, else, if else etc

Answer 1

I've used simple while loops. nothinq else


#include <iostream>
using namespace std;

int main() {
    double x = 0;
    while (x != -1) {
        cout << "Enter a value for x(close to 0) and -1 to exit: ";
        cin >> x;
        if (x != -1) {
            double total = 0, term = 1, power = x, factorial = 1;
            int sign = 1, i = 1;
            while (term > 10e-7) {
                term = power / factorial;
                total += sign * term;
                sign *= -1;
                power *= x*x;
                factorial *= (i+1)*(i+2);
                i += 2;
            }
            cout << "sin(" << x << ") is " << total << endl;
        }
    }
    return 0;
}

Enter a value for x (close t。0) and-1 t。exit: sin (0.1) is 0.0998334 Enter a value for x(close to 0) and -1 to exit: sin (0.5) is 0.479426 Enter a value for xiclose to 0) and to oxit