Write a complete Fortran program that evaluates the value of sine(x) using appropriate expansion series for any value of x. The input for your program is x in degrees. The program must compare the value of sine(x) evaluated using the expansion series and the value obtained using Fortran's internal function. Use comment lines in the source code to describe your strategy to test the program. Test your program rigorously using suitable data including negative x values, x larger than 360 degrees, or very large x as compared to 360 degrees. Your program must be efficient in evaluating sine(x) for large x. You must describe your algorithm for the handling of large x using comment lines.

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