Program to calculate the value of sin(x) and cos(x) using Expansion
Given a value of angle, you need to calculate Sin and Cos values corresponding to it.
For sin function
Examples:
Input : 90 Output : 1
C++
// CPP code for implementing sin function #include <iostream> #include <math.h> using namespace std; // Function for calculating sin value void cal_sin( float n) { float accuracy = 0.0001, denominator, sinx, sinval; // Converting degrees to radian n = n * (3.142 / 180.0); float x1 = n; // maps the sum along the series sinx = n; // holds the actual value of sin(n) sinval = sin (n); int i = 1; do { denominator = 2 * i * (2 * i + 1); x1 = -x1 * n * n / denominator; sinx = sinx + x1; i = i + 1; } while (accuracy <= fabs (sinval - sinx)); cout << sinx; } // Main function int main() { float n = 90; cal_sin(n); return 0; } |
Java
import static java.lang.Math.sin; // JAVA code for implementing sin function class GFG { // Function for calculating sin value static void cal_sin( float n) { float accuracy = ( float ) 0.0001 , denominator, sinx, sinval; // Converting degrees to radian n = n * ( float )( 3.142 / 180.0 ); float x1 = n; // maps the sum along the series sinx = n; // holds the actual value of sin(n) sinval = ( float )sin(n); int i = 1 ; do { denominator = 2 * i * ( 2 * i + 1 ); x1 = -x1 * n * n / denominator; sinx = sinx + x1; i = i + 1 ; } while (accuracy <= sinval - sinx); System.out.println(sinx); } // Main function public static void main(String[] args) { float n = 90 ; cal_sin(n); } } |
Python3
# Python3 code for implementing # sin function import math; # Function for calculating sin value def cal_sin(n): accuracy = 0.0001 ; # Converting degrees to radian n = n * ( 3.142 / 180.0 ); x1 = n; # maps the sum along the series sinx = n; # holds the actual value of sin(n) sinval = math.sin(n); i = 1 ; while ( True ): denominator = 2 * i * ( 2 * i + 1 ); x1 = - x1 * n * n / denominator; sinx = sinx + x1; i = i + 1 ; if (accuracy < = abs (sinval - sinx)): break ; print ( round (sinx)); # Driver Code n = 90 ; cal_sin(n); # This code is contributed by mits |
C#
// C# code for implementing sin function using System; class GFG { // Function for calculating sin value static void cal_sin( float n) { float accuracy = ( float ) 0.0001, denominator, sinx, sinval; // Converting degrees to radian n = n * ( float )(3.142 / 180.0); float x1 = n; // maps the sum along the series sinx = n; // holds the actual value of sin(n) sinval = ( float )Math.Sin(n); int i = 1; do { denominator = 2 * i * (2 * i + 1); x1 = -x1 * n * n / denominator; sinx = sinx + x1; i = i + 1; } while (accuracy <= sinval - sinx); Console.WriteLine(sinx); } // Driver Code static public void Main () { float n = 90; cal_sin(n); } } // This code is contributed by jit_t |
PHP
<?php // PHP code for implementing sin function // Function for calculating sin value function cal_sin( $n ) { $accuracy = 0.0001; // Converting degrees to radian $n = $n * (3.142 / 180.0); $x1 = $n ; // maps the sum along the series $sinx = $n ; // holds the actual value of sin(n) $sinval = sin( $n ); $i = 1; do { $denominator = 2 * $i * (2 * $i + 1); $x1 = - $x1 * $n * $n / $denominator ; $sinx = $sinx + $x1 ; $i = $i + 1; } while ( $accuracy <= abs ( $sinval - $sinx )); echo round ( $sinx ); } // Main function $n = 90; cal_sin( $n ); // This code is contributed by mits ?> |
Javascript
<script> // javascript code for implementing sin function // Function for calculating sin value function cal_sin(n) { var accuracy = 0.0001, denominator, sinx, sinval; // Converting degrees to radian n = n * (3.142 / 180.0); var x1 = n; // maps the sum along the series sinx = n; // holds the actual value of sin(n) sinval = Math.sin(n); var i = 1; do { denominator = 2 * i * (2 * i + 1); x1 = -x1 * n * n / denominator; sinx = (sinx + x1); i = i + 1; } while (accuracy <= sinval - sinx); document.write(sinx.toFixed(0)); } // Main function var n = 90; cal_sin(n); // This code is contributed by todaysgaurav </script> |
Output:
1
Time Complexity: O(n)
Space Complexity: O(1)
For cos function
Examples:
Input : 30 Output : 0.86602
C++
// CPP code for implementing cos function #include <iostream> #include <math.h> using namespace std; // Function for calculation void cal_cos( float n) { float accuracy = 0.0001, x1, denominator, cosx, cosval; // Converting degrees to radian n = n * (3.142 / 180.0); x1 = 1; // maps the sum along the series cosx = x1; // holds the actual value of sin(n) cosval = cos (n); int i = 1; do { denominator = 2 * i * (2 * i - 1); x1 = -x1 * n * n / denominator; cosx = cosx + x1; i = i + 1; } while (accuracy <= fabs (cosval - cosx)); cout << cosx; } // Main function int main() { float n = 30; cal_cos(n); } |
Java
// Java code for implementing cos function import static java.lang.Math.cos; class GFG { // Function for calculation static void cal_cos( float n) { float accuracy = ( float ) 0.0001 , x1, denominator, cosx, cosval; // Converting degrees to radian n = n * ( float ) ( 3.142 / 180.0 ); x1 = 1 ; // maps the sum along the series cosx = x1; // holds the actual value of sin(n) cosval = ( float ) cos(n); int i = 1 ; do { denominator = 2 * i * ( 2 * i - 1 ); x1 = -x1 * n * n / denominator; cosx = cosx + x1; i = i + 1 ; } while (accuracy <= cosval - cosx); System.out.println(cosx); } // Main function public static void main(String[] args) { float n = 30 ; cal_cos(n); } } |
Python3
# Python 3 code for implementing cos function from math import fabs, cos # Function for calculation def cal_cos(n): accuracy = 0.0001 # Converting degrees to radian n = n * ( 3.142 / 180.0 ) x1 = 1 # maps the sum along the series cosx = x1 # holds the actual value of sin(n) cosval = cos(n) i = 1 denominator = 2 * i * ( 2 * i - 1 ) x1 = - x1 * n * n / denominator cosx = cosx + x1 i = i + 1 while (accuracy < = fabs(cosval - cosx)): denominator = 2 * i * ( 2 * i - 1 ) x1 = - x1 * n * n / denominator cosx = cosx + x1 i = i + 1 print ( '{0:.6}' . format (cosx)) # Driver Code if __name__ = = '__main__' : n = 30 cal_cos(n) # This code is contributed by # Sahil_Shelangia |
C#
// C# code for implementing cos function using System; class GFG { // Function for calculation static void cal_cos( float n) { float accuracy = ( float ) 0.0001, x1, denominator, cosx, cosval; // Converting degrees to radian n = n * ( float ) (3.142 / 180.0); x1 = 1; // maps the sum along the series cosx = x1; // holds the actual value of sin(n) cosval = ( float ) Math.Cos(n); int i = 1; do { denominator = 2 * i * (2 * i - 1); x1 = -x1 * n * n / denominator; cosx = cosx + x1; i = i + 1; } while (accuracy <= cosval - cosx); Console.WriteLine(cosx); } // Main function static void Main() { float n = 30; cal_cos(n); } } // This code is contributed by mits |
PHP
<?php // PHP code for implementing cos function // Function for calculation function cal_cos( $n ) { $accuracy = 0.0001; // Converting degrees to radian $n = $n * (3.142 / 180.0); $x1 = 1; // maps the sum along the series $cosx = $x1 ; // holds the actual value of sin(n) $cosval = cos ( $n ); $i = 1; do { $denominator = 2 * $i * (2 * $i - 1); $x1 = - $x1 * $n * $n / $denominator ; $cosx = $cosx + $x1 ; $i = $i + 1; } while ( $accuracy <= abs ( $cosval - $cosx )); echo round ( $cosx , 6); } // Driver Code $n = 30; cal_cos( $n ); // This code is contributed by mits ?> |
Javascript
<script> // JavaScript code for implementing cos function // Function for calculation function cal_cos(n) { let accuracy = 0.0001, x1, denominator, cosx, cosval; // Converting degrees to radian n = n * (3.142 / 180.0); x1 = 1; // maps the sum along the series cosx = x1; // holds the actual value of sin(n) cosval = Math.cos(n); let i = 1; do { denominator = 2 * i * (2 * i - 1); x1 = -x1 * n * n / denominator; cosx = cosx + x1; i = i + 1; } while (accuracy <= Math.abs(cosval - cosx)); document.write(cosx.toFixed(5)); } // Main function let n = 30; cal_cos(n); // This code is contributed by Surbhi Tyagi. </script> |
Output:
0.86602
Time Complexity: O(n)
Space Complexity: O(1)
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