Lesson 5-Mathematical functions in C++- Coding overdose

Mathematical functions


Required header:  #include <cmath>

          

sqrt(x)	square root
sin(x)	sine of x (in radians)
asin(x)	Inverse Sine of x
cos(x)	cosine of x (in radians)
acos()	Inverse cosine of x
tan(x)	tangent of x (in radians)
atan()	Returns Inverse tangent a Number
abs()	returns absolute value of an argument
log(x)	natural logarithm of x (base e)

log10(x)	logarithm of x to base 10
exp(x)	exponential function
pow(x,y)	x raised to power y
cbrt()	Computes Cube Root of a Number

1.Program to calculate roots of a quadratic equation

#include <iostream>
#include <cmath>
using namespace std;
int main ()

{
    float a,b,c,d,real,imag;


    cout<<"enter a,b,c"<<endl;
    cin>>a>>b>>c;


d=(b*b)-(4*a*c);

cout<<"The given equation is"<<a<<"x^2+"<<b <<"x+"<<c <<endl;
cout<<"The discriminant is" << d <<endl;

if(d>0)
{cout<<"The given equation has two real distinct roots"<<endl;
cout<<"first root is x=" <<(-b+sqrt(d))/(2*a);
cout<<"second root is x=" <<(-b-sqrt(d))/(2*a);
}


if(d==0)
{cout<<"The given equation has two same roots"<<endl;
cout<<"it has two same roots equal to x= " <<-b/(2*a);

}

if (d<0)
{cout<<"The given equation has two imaginary roots"<<endl;
real= -b/(2*a);
imag=(sqrt(-d))/(2*a);
cout<<"first root is x=" <<real <<"+"<< imag<<"i";
cout<<"second root is x=" <<real <<"+"<< imag<<"i";
}

    return 0 ;
}