Write a program that takes two command-line arguments (the name of an image file and a real number \(\theta\) ) and rotates the image \(\theta\) degrees counterclockwise. To rotate, copy the color of each pixel \(\left(s_{i}ight.\), \(\left.s_{j}ight)\) in the source image to a target pixel \(\left(t_{i}, t_{j}ight)\) whose coordinates are given by the following formulas:

where (c i, c j) is the center of the image.

t = (s; t = (s; - c)cos 0 - (s; - c;) sin 0 + c; c) sin0 + (s; - c;)cos 0 + c