You will write a program that calculates sine function with Taylor expansion.
To perform the task, you can use a Taylor expansion.
The value of the sine function at a given point x (x is an angle in radians) can be calculated as a sum of infinite series.
x*x*x x*x*x*x*x x*x*x*x*x*x*x sin x = x - -------- + -------- +---------------+ ... 3! 5! 7!
7! = 1 * 2 * 3 * ... * 7.
using System; class Program//from w w w . j av a 2s.c o m { static void Main(string[] args) { // Input Console.Write("Enter an angle in degrees: "); string input = Console.ReadLine(); double angle = Convert.ToInt32(input); // Converting to radians double x = Math.PI / 180 * angle; // Preparations double member; double sum = 0; double tinyValue = 1e-15; double sign = 1; double power = x; double factorial = 1; double multiplier = 1; // Sum of the series do { // Calculating current member of the series member = sign * power / factorial; // Appending to sum sum += member; // Preparing next step sign *= -1; multiplier++; factorial *= multiplier; multiplier++; factorial *= multiplier; power *= x * x; } while (Math.Abs(member) > tinyValue); // Output Console.WriteLine("Our value: " + sum.ToString()); Console.WriteLine("Math.Sin: " + Math.Sin(x).ToString()); } }