Inspired by Harsh Shrivastava

Calculus Level 4

If \[\tan(\beta)=\dfrac{n \sin(\omega) \cos (\omega)}{1-n \sin^{2} (\omega)}\]

Find the value of \[\large\int\limits_0^{\pi/4} \frac{\tan(\omega-\beta)}{1-n}\,\mathrm d\omega\]

Answer up to to three decimal places.

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