Answer
$$ = -{{2\,\left(\sin x\,\arctan \left({{\sin x}\over{\cos x+1}}\right)- \cos x\,\arctan \left({{\sin x}\over{\cos x+1}}\right)-\arctan \left({{\sin x}\over{\cos x+1}}\right)+\cos x+1\right)}\over{\sin x- \cos x-1}} $$
Explanation
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