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#include <stdio.h> #include <math.h> #define PI 3.141592654 /* long double factorial(int n) { return (n<=1) ? 1 : n*factorial(n-1); } double tylor_sine(double x) { int n=0,fac; double result=0,term=0; do { fac=(2*n+1); result=result+term; term=pow(-1,n)*(pow(x,fac)/factorial(fac)); n++; }while(fabs(term)>=.00000001); return result; } */ double cube (double x) { return x*x*x; } double sine (double angle) { if (angle < 0.0000001) { return angle; } return 3*(sine (angle/3.0)) - 4*cube(sine (angle/3.0)); } int main() { //printf("tylor-series sine(10): %f\n",tylor_sine(10.0)); printf("triple-angle sine(10): %f\n",sine(10.0)); //printf("tylor-series sine(1): %f\n",tylor_sine(1.0)); printf("triple-angle sine(1): %f\n",sine(1.0)); //printf("tylor-series sine(PI/2): %f\n",tylor_sine(PI/2)); printf("triple-angle sine(PI/2): %f\n",sine(PI/2)); getchar(); return 0; } //sorry codepad math.h don't have pow() function //i have to comment out tylor series but you can try un-comment and compile it
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