#include <math.h>
#include <stdio.h>

double g(double alpha,double x){
    return tan(x)-alpha*exp(x);
}
double dgdx(double alpha,double x){
    double sec=1/cos(x);
    return sec*sec-alpha*exp(x);
}
double newton(double alpha,double x){
    return x-g(alpha,x)/dgdx(alpha,x);
}
double f(double x,double alpha){
    for(int i=1;i<10;i++){
        x=newton(alpha,x);
    }
    return x;
}
int main(){
    double x=0.8766;
    for(int i=0;i<16;i++){
        double alpha=0.5+0.1*i;
        x=f(x,alpha);
        printf("f(%.17g)=%.15g\n",alpha,x);
    }
    return 0;
}