Write C programs for the following:1. Pretending that the cosine function, cos(x) , is not available in the C compiler, create your own cos(x) using

cos (x) = 1

x22!

+

x44!

x66!

+

Backgroundand demonstrate your program by making a table as:

x	mycos(x)	cos(x)
0.0	1.000	1.000
0.1	1.101	1.105
0.2	1.308	1.221
...	...	...
1.0	1.69	1.781

where mycos(x) is from your program and cos (x) is the C-supplied function in math.h.Note:

The values above are false.

The following is the general form of cos (x).

cos(x) =

i=0

(1)i x2 i(2 i)!

,

Take first 10 terms for the series.

Template:

#include  #include  int factorial(int n) { (your code here) } float mycos(float x) { float sum=0; int i; for (i=0;i<=10;i++) sum = sum + (your code here); return sum; } int main() { float ...; int i=1; /* counter */ (for i=1;i< .......) printf....... return 0; }