If \(\int \frac{\cos \theta }{5+7\sin \theta -2{\cos }^{2}\theta }d\theta =A{\log }_{e}|B(\theta )|+C\), where C is a co…

If \(\int \frac{\cos \theta }{5+7\sin \theta -2{\cos }^{2}\theta }d\theta =A{\log }_{e}|B(\theta )|+C\), where C is a constant of integration, then \(\frac{B(\theta )}{A}\) can be:

[JEE Main 2020, 5 Sep (Shift 2)]