C++ Trigonometric functions

C++ comes with handy Trigonometric functions. They are in math.h header file. During coding contests they are very useful whenver, we need to do some trigonometric calclculations.

Here is a list of C++ Trigonometric functions.

• sin

It takes an angle (in radians) and returns its sine value. Here is an example of it.

#include <iostream> 
#include <math.h> 
using namespace std; 

int main() 
{ 
	double x = 90.0; 
	cout << "Sine(90) = "
		<< sin(x) << endl; 
	return 0; 
} 

Sine(90) = 0.893997

• cos

 It takes angle (in radians) as an argument and return its cosine value.

#include <iostream> 
#include <math.h> 
using namespace std; 

int main() 
{ 
	double x = 2.1; 
	cout << "cos(2.1) "
		<< cos(x) << endl; 

	return 0; 
} 

cos(2.1) -0.504846

• Tan

It  takes angle (in radians) as an argument and return its tangent value. 

#include <iostream> 
#include <math.h> 
using namespace std; 

int main() 
{ 
	double x = 2.1; 
	cout << "Tan(2.1) "
		<< tan(x) << endl; 

	return 0; 
} 

Tan(2.1) -1.70985

• acos:  It returns arc cosine of argument given. The argument to acos must be in the range -1 to 1; otherwise, a domain error occurs.

#include <iostream> 
#include <math.h> 
using namespace std; 

int main() 
{ 
	double x = 1.0; 
	cout << "Arc Cosine(1.0) "
		<< acos(x) << endl; 

	return 0; 
} 

Arc Cosine(1.0) 0

• asin: It returns the arcsine of argument. The argument to asin must be in the range -1 to 1; otherwise, a domain error occurs.

#include <iostream> 
#include <math.h> 
using namespace std; 

int main() 
{ 
	double x = 1.0; 
	cout << "Arc Sine (1.0) = "
		<< asin(x) << endl; 

	return 0; 
} 

Arc Sine (1.0) = 1.5708

• atan: It returns the arc tangent of passed argument.

#include <iostream> 
#include <math.h> 
using namespace std; 

int main() 
{ 
	double x = 1.0; 
	cout << "Arc Tangent (1.0) = "
		<< atan(x) << endl; 

	return 0; 
} 

Arc Tangent (1.0) = 0.785398

• atan2: This function returns the arc tangent of (a)/(b)

#include <iostream> 
#include <math.h> 
using namespace std; 

int main() 
{ 
	double a = 2.1, b = 1.0; 
	cout << "Arc Tangent 2  a = 2.3 and b = 1.0: "
		<< atan2(a, b) << endl; 

	return 0; 
} 

Arc Tangent 2  a = 2.3 and b = 1.0: 1.12638

• cosh: This function returns the hyperbolic cosine of argument provided. The value of the argument provided must be in degrees.

#include <iostream> 
#include <math.h> 
using namespace std; 

int main() 
{ 
	double x = 54.2; // in degrees 
	cout << "Hyperbolic Cosine (54.2) = "
		<< cosh(x) << endl; 

	return 0; 
} 

Hyperbolic Cosine (54.2) =  1.72874e+23

• tanh: This function returns the hyperbolic tangent of argument provided. The value of argument provided must be in degrees.

#include <iostream> 
#include <math.h> 
using namespace std; 

int main() 
{ 
	double x = 54.2; // in degrees 
	cout << "Hyperbolic Tangent (54.2) = "
		<< tanh(x) << endl; 

	return 0; 
} 

Hyperbolic Tangent (54.2) = 1