Teaching UP TGT Mock Test Series 2025 Mathematics Integral Calculus Definite Integrals

If \(\int^\alpha_0 \frac{dx}{1-cos\ \alpha\ cos\ x}=\frac{A}{sin\ \alpha}+B\) (A ≠ 0). Then possible value of A and B are 

1
\(\frac{\pi}{2}\), 0
2
\(\frac{\pi}{4}, \frac{\pi}{4sin \alpha}\)
3
Both I and II
4
None 
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