C# - Using Sine and Cosine Series to find TAN Value
I have given here a C# program to find the value of TAN using Sine & cosine Series and without using the library function. This program will print the values got from the series function MyTan and library function tan.
sine series = x - x^3/3! + x^5/5! - x^7 / 7! + x^9 / 9! - .......
cosine series = 1 - x^2/2! + x^4/4! - x^6 / 6! + X^8 / 8! - ....
Tan Series = sine series / cosine series
Source Code
using System;
using System.Collections.Generic;
using System.Text;
namespace SoftwareAndFinance
{
class Math
{
const double PI = 3.14159265;
// tan series = sine series / cosine series
public static double MyTan(double x)
{
double sineresult = x;
double cosineresult = 1;
double sqx = 0;
double fact = 0;
int index = 0;
int term = 0;
double termfactor = 0;
{
sqx = x * x * x;
fact = 2 * 3;
index = 3;
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);
}
}
{
sqx = x * x;
fact = 2;
index = 2;
for (term = 1; term < 20; term++)
{
termfactor = 0;
termfactor = sqx / fact;
if ( (term % 2) == 1)
{
cosineresult = cosineresult - termfactor;
}
else
{
cosineresult = cosineresult + termfactor;
}
index++;
fact *= index;
index++;
fact *= index;
sqx *= (x * x);
}
}
return sineresult / cosineresult;
}
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.Tan(d * PI / 180.0), MyTan(d * PI / 180.0));
}
}
}
}
Click here to get the C# project along with executable
Output
0.00 = 0.00000 0.00000
2.50 = 0.04366 0.04366
5.00 = 0.08749 0.08749
7.50 = 0.13165 0.13165
10.00 = 0.17633 0.17633
12.50 = 0.22169 0.22169
15.00 = 0.26795 0.26795
17.50 = 0.31530 0.31530
20.00 = 0.36397 0.36397
22.50 = 0.41421 0.41421
25.00 = 0.46631 0.46631
27.50 = 0.52057 0.52057
30.00 = 0.57735 0.57735
32.50 = 0.63707 0.63707
35.00 = 0.70021 0.70021
37.50 = 0.76733 0.76733
40.00 = 0.83910 0.83910
42.50 = 0.91633 0.91633
45.00 = 1.00000 1.00000
47.50 = 1.09131 1.09131
50.00 = 1.19175 1.19175
52.50 = 1.30323 1.30323
55.00 = 1.42815 1.42815
57.50 = 1.56969 1.56969
60.00 = 1.73205 1.73205
62.50 = 1.92098 1.92098
65.00 = 2.14451 2.14451
67.50 = 2.41421 2.41421
70.00 = 2.74748 2.74748
72.50 = 3.17159 3.17159
75.00 = 3.73205 3.73205
77.50 = 4.51071 4.51071
80.00 = 5.67128 5.67128
82.50 = 7.59575 7.59575
85.00 = 11.43005 11.43005
87.50 = 22.90376 22.90376
90.00 = 557135115.02160 557135111.86027
92.50 = -22.90377 -22.90377
95.00 = -11.43005 -11.43005
97.50 = -7.59575 -7.59575
100.00 = -5.67128 -5.67128
102.50 = -4.51071 -4.51071
105.00 = -3.73205 -3.73205
107.50 = -3.17159 -3.17159
110.00 = -2.74748 -2.74748
112.50 = -2.41421 -2.41421
115.00 = -2.14451 -2.14451
117.50 = -1.92098 -1.92098
120.00 = -1.73205 -1.73205
122.50 = -1.56969 -1.56969
125.00 = -1.42815 -1.42815
127.50 = -1.30323 -1.30323
130.00 = -1.19175 -1.19175
132.50 = -1.09131 -1.09131
135.00 = -1.00000 -1.00000
137.50 = -0.91633 -0.91633
140.00 = -0.83910 -0.83910
142.50 = -0.76733 -0.76733
145.00 = -0.70021 -0.70021
147.50 = -0.63707 -0.63707
150.00 = -0.57735 -0.57735
152.50 = -0.52057 -0.52057
155.00 = -0.46631 -0.46631
157.50 = -0.41421 -0.41421
160.00 = -0.36397 -0.36397
162.50 = -0.31530 -0.31530
165.00 = -0.26795 -0.26795
167.50 = -0.22169 -0.22169
170.00 = -0.17633 -0.17633
172.50 = -0.13165 -0.13165
175.00 = -0.08749 -0.08749
177.50 = -0.04366 -0.04366
180.00 = 0.00000 0.00000
182.50 = 0.04366 0.04366
185.00 = 0.08749 0.08749
187.50 = 0.13165 0.13165
190.00 = 0.17633 0.17633
192.50 = 0.22169 0.22169
195.00 = 0.26795 0.26795
197.50 = 0.31530 0.31530
200.00 = 0.36397 0.36397
202.50 = 0.41421 0.41421
205.00 = 0.46631 0.46631
207.50 = 0.52057 0.52057
210.00 = 0.57735 0.57735
212.50 = 0.63707 0.63707
215.00 = 0.70021 0.70021
217.50 = 0.76733 0.76733
220.00 = 0.83910 0.83910
222.50 = 0.91633 0.91633
225.00 = 1.00000 1.00000
227.50 = 1.09131 1.09131
230.00 = 1.19175 1.19175
232.50 = 1.30323 1.30323
235.00 = 1.42815 1.42815
237.50 = 1.56969 1.56969
240.00 = 1.73205 1.73205
242.50 = 1.92098 1.92098
245.00 = 2.14451 2.14451
247.50 = 2.41421 2.41421
250.00 = 2.74748 2.74748
252.50 = 3.17159 3.17159
255.00 = 3.73205 3.73205
257.50 = 4.51071 4.51071
260.00 = 5.67128 5.67128
262.50 = 7.59575 7.59575
265.00 = 11.43005 11.43005
267.50 = 22.90376 22.90376
270.00 = 185711735.63945 185711676.12359
272.50 = -22.90377 -22.90377
275.00 = -11.43005 -11.43005
277.50 = -7.59575 -7.59575
280.00 = -5.67128 -5.67128
282.50 = -4.51071 -4.51071
285.00 = -3.73205 -3.73205
287.50 = -3.17159 -3.17159
290.00 = -2.74748 -2.74748
292.50 = -2.41421 -2.41421
295.00 = -2.14451 -2.14451
297.50 = -1.92098 -1.92098
300.00 = -1.73205 -1.73205
302.50 = -1.56969 -1.56969
305.00 = -1.42815 -1.42815
307.50 = -1.30323 -1.30323
310.00 = -1.19175 -1.19175
312.50 = -1.09131 -1.09131
315.00 = -1.00000 -1.00000
317.50 = -0.91633 -0.91633
320.00 = -0.83910 -0.83910
322.50 = -0.76733 -0.76733
325.00 = -0.70021 -0.70021
327.50 = -0.63707 -0.63707
330.00 = -0.57735 -0.57735
332.50 = -0.52057 -0.52057
335.00 = -0.46631 -0.46631
337.50 = -0.41421 -0.41421
340.00 = -0.36397 -0.36397
342.50 = -0.31530 -0.31530
345.00 = -0.26795 -0.26795
347.50 = -0.22169 -0.22169
350.00 = -0.17633 -0.17633
352.50 = -0.13165 -0.13165
355.00 = -0.08749 -0.08749
357.50 = -0.04366 -0.04366
360.00 = 0.00000 0.00000
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