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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