Please write the program in C

4. Write a function, cos(x), using the taylor series expansion below and use it in a program to find the cosine of values read until EOF.

Here you will be writing a function:

 double cos(float); 

to compute the cos of an angle (given in radians) using the Taylor series shown. Your function should find the value of the cos for ANY angle (preferred) or at least angles up to 2 PI (Hint: if you can do the later, the former should be easy) to a precision of 4 decimal places (within 0.00005). You should put the function cos() in the file called trig.c. You can use the function pos_power() in your exponent.c from Lab 6 and Hw 4, and you should write functions for factorial() and close_enough() in the file called util.c. This last function is given two doubles and returns true if they are within 0.00005 of each other. You can put any other functions you may want in util.c as well. You will need to provide your own .h files for each of these .c files. You should also write a simple test driver to exercise your function in the file driver1.c. You should update the makefile to compile and link driver1.c, trig.c, util.c and exponent.c when you type

 make trig 

and create the executable called trig.

This is what I have for my exponent.c and exponent.h

Exponent.c

#include"exponent.h"

{ int x, y; i=1; ans=1;

while(i<=y) { ans=ans*x; i=i+1; }

return 0;

}

Exponent.h

#ifndef y #define DEBUG

float pos_power(float base, int exponent);

#endif