C# - Using Sine Series to find SIN Value
I have given here a C# program to find the value of sin using Sine Series and without using the library function. This program will print the values got from the series function MySin and System.Math.Sin.
sin series = x - x^3/3! + x^5/5! - x^7 / 7! + x^9 / 9! - .......
Source Code
using System;
using System.Collections.Generic;
using System.Text;
namespace SoftwareAndFinance
{
class Math
{
const double PI = 3.14159265;
// sin series = x - x^3/3! + x^5/5! - x^7 / 7!
public static double MySin(double x)
{
double sqx = x * x * x;
double sineresult = x;
double fact = 2 * 3;
int index = 3;
int term = 0;
double termfactor = 0;
for (term = 1; term < 20; term++)
{
termfactor = 0;
termfactor = sqx / fact;
if ( (term % 2) == 1)
{
sineresult = sineresult - termfactor;
}
else
{
sineresult = sineresult + termfactor;
}
index++;
fact *= index;
index++;
fact *= index;
sqx *= (x * x);
}
return sineresult;
}
static void Main(string[] args)
{
for (double d = 0; d <= 360; d += 2.5)
{
Console.WriteLine("{0,6:f2} = {1,8:f5} {2,8:f5}", d, (double)System.Math.Sin(d * PI / 180.0), MySin(d * PI / 180.0));
}
}
}
}
Click here to get the C# project along with executable
Output
0.00 = 0.00000 0.00000
2.50 = 0.04362 0.04362
5.00 = 0.08716 0.08716
7.50 = 0.13053 0.13053
10.00 = 0.17365 0.17365
12.50 = 0.21644 0.21644
15.00 = 0.25882 0.25882
17.50 = 0.30071 0.30071
20.00 = 0.34202 0.34202
22.50 = 0.38268 0.38268
25.00 = 0.42262 0.42262
27.50 = 0.46175 0.46175
30.00 = 0.50000 0.50000
32.50 = 0.53730 0.53730
35.00 = 0.57358 0.57358
37.50 = 0.60876 0.60876
40.00 = 0.64279 0.64279
42.50 = 0.67559 0.67559
45.00 = 0.70711 0.70711
47.50 = 0.73728 0.73728
50.00 = 0.76604 0.76604
52.50 = 0.79335 0.79335
55.00 = 0.81915 0.81915
57.50 = 0.84339 0.84339
60.00 = 0.86603 0.86603
62.50 = 0.88701 0.88701
65.00 = 0.90631 0.90631
67.50 = 0.92388 0.92388
70.00 = 0.93969 0.93969
72.50 = 0.95372 0.95372
75.00 = 0.96593 0.96593
77.50 = 0.97630 0.97630
80.00 = 0.98481 0.98481
82.50 = 0.99144 0.99144
85.00 = 0.99619 0.99619
87.50 = 0.99905 0.99905
90.00 = 1.00000 1.00000
92.50 = 0.99905 0.99905
95.00 = 0.99619 0.99619
97.50 = 0.99144 0.99144
100.00 = 0.98481 0.98481
102.50 = 0.97630 0.97630
105.00 = 0.96593 0.96593
107.50 = 0.95372 0.95372
110.00 = 0.93969 0.93969
112.50 = 0.92388 0.92388
115.00 = 0.90631 0.90631
117.50 = 0.88701 0.88701
120.00 = 0.86603 0.86603
122.50 = 0.84339 0.84339
125.00 = 0.81915 0.81915
127.50 = 0.79335 0.79335
130.00 = 0.76604 0.76604
132.50 = 0.73728 0.73728
135.00 = 0.70711 0.70711
137.50 = 0.67559 0.67559
140.00 = 0.64279 0.64279
142.50 = 0.60876 0.60876
145.00 = 0.57358 0.57358
147.50 = 0.53730 0.53730
150.00 = 0.50000 0.50000
152.50 = 0.46175 0.46175
155.00 = 0.42262 0.42262
157.50 = 0.38268 0.38268
160.00 = 0.34202 0.34202
162.50 = 0.30071 0.30071
165.00 = 0.25882 0.25882
167.50 = 0.21644 0.21644
170.00 = 0.17365 0.17365
172.50 = 0.13053 0.13053
175.00 = 0.08716 0.08716
177.50 = 0.04362 0.04362
180.00 = 0.00000 0.00000
182.50 = -0.04362 -0.04362
185.00 = -0.08716 -0.08716
187.50 = -0.13053 -0.13053
190.00 = -0.17365 -0.17365
192.50 = -0.21644 -0.21644
195.00 = -0.25882 -0.25882
197.50 = -0.30071 -0.30071
200.00 = -0.34202 -0.34202
202.50 = -0.38268 -0.38268
205.00 = -0.42262 -0.42262
207.50 = -0.46175 -0.46175
210.00 = -0.50000 -0.50000
212.50 = -0.53730 -0.53730
215.00 = -0.57358 -0.57358
217.50 = -0.60876 -0.60876
220.00 = -0.64279 -0.64279
222.50 = -0.67559 -0.67559
225.00 = -0.70711 -0.70711
227.50 = -0.73728 -0.73728
230.00 = -0.76604 -0.76604
232.50 = -0.79335 -0.79335
235.00 = -0.81915 -0.81915
237.50 = -0.84339 -0.84339
240.00 = -0.86603 -0.86603
242.50 = -0.88701 -0.88701
245.00 = -0.90631 -0.90631
247.50 = -0.92388 -0.92388
250.00 = -0.93969 -0.93969
252.50 = -0.95372 -0.95372
255.00 = -0.96593 -0.96593
257.50 = -0.97630 -0.97630
260.00 = -0.98481 -0.98481
262.50 = -0.99144 -0.99144
265.00 = -0.99619 -0.99619
267.50 = -0.99905 -0.99905
270.00 = -1.00000 -1.00000
272.50 = -0.99905 -0.99905
275.00 = -0.99619 -0.99619
277.50 = -0.99144 -0.99144
280.00 = -0.98481 -0.98481
282.50 = -0.97630 -0.97630
285.00 = -0.96593 -0.96593
287.50 = -0.95372 -0.95372
290.00 = -0.93969 -0.93969
292.50 = -0.92388 -0.92388
295.00 = -0.90631 -0.90631
297.50 = -0.88701 -0.88701
300.00 = -0.86603 -0.86603
302.50 = -0.84339 -0.84339
305.00 = -0.81915 -0.81915
307.50 = -0.79335 -0.79335
310.00 = -0.76604 -0.76604
312.50 = -0.73728 -0.73728
315.00 = -0.70711 -0.70711
317.50 = -0.67559 -0.67559
320.00 = -0.64279 -0.64279
322.50 = -0.60876 -0.60876
325.00 = -0.57358 -0.57358
327.50 = -0.53730 -0.53730
330.00 = -0.50000 -0.50000
332.50 = -0.46175 -0.46175
335.00 = -0.42262 -0.42262
337.50 = -0.38268 -0.38268
340.00 = -0.34202 -0.34202
342.50 = -0.30071 -0.30071
345.00 = -0.25882 -0.25882
347.50 = -0.21644 -0.21644
350.00 = -0.17365 -0.17365
352.50 = -0.13053 -0.13053
355.00 = -0.08716 -0.08716
357.50 = -0.04362 -0.04362
360.00 = 0.00000 0.00000
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