#include <math.h>

double sin(double r) {
    r = fmod(r + PI, PI * 2) - PI;
    double d = r;
    float mult = -1;
    for (int i = 3; i < 11; i+= 2, mult = -mult) {
         d += (pow(r, i)/fact(i)) * mult;
    }
    return d;
}

double cos(double r) {
    r = fmod(r + PI, PI * 2) - PI;
    double d = 1;
    float mult = -1;
    for (int i = 2; i < 10; i+= 2, mult = -mult) {
         d += (pow(r, i)/fact(i)) * mult;
    }
    return d;
}

double tan(double r) {
    return sin(r) / cos(r);
}

double csc(double r) {
    return 1 / sin(r);
}

double sec(double r) {
    return 1 / cos(r);
}

double cot(double r) {
    return cos(r) / sin(r);
}

double sinh(double r) {
    return (pow(E, r) - pow(E, -r)) / 2;
}

double cosh(double r) {
    return (pow(E, r) + pow(E, -r)) / 2;
}

double tanh(double r) {
    return sinh(r) / cosh(r);
}

double csch(double r) {
    return 1 / sinh(r);
}

double sech(double r) {
    return 1 / cosh(r);
}

double coth(double r) {
    return cosh(r) / sinh(r);
}