Compute $\arccos (\sin 2).$  All functions are in radians.
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<|im_start|>user
Compute $\arccos (\sin 2).$  All functions are in radians.
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
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user
2 - \frac{\pi}{2}
Compute $\arccos (\sin 2).$  All functions are in radians.
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