Factorials. The following set of problems relates to computing factorials. If you did not...

Factorials. The following set of problems relates to computing factorials. If you did not cover the section on recursion, read the material on pages 200–201 for the definition of a factorial and then review the nonrecursive function for computing the factorial.

The cosine of an angle can be computed from the following infinite series:

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Write a program that reads an angle x (in radians) from the keyboard. Then, in a function, compute the cosine of the angle using the first five terms of this series. Print the value computed along with the value of the cosine computed using the C library function.