@Nyssa Could you please take a look at those deleted questions?
https://math.stackexchange.com/questions/2745598/how-to-find-the-integral-int-frac-dx-sin2-x-tan2x
https://math.stackexchange.com/questions/3114771/how-to-evaluate-the-limit-lim-x-to-pi-frac-cos-x-sin-2x1x2-pi2
https://math.stackexchange.com/questions/3313374/limit-of-the-quotient-of-exponentials
https://math.stackexchange.com/questions/2745598/how-to-find-the-integral-int-frac-dx-sin2-x-tan2x
https://math.stackexchange.com/questions/3114771/how-to-evaluate-the-limit-lim-x-to-pi-frac-cos-x-sin-2x1x2-pi2
https://math.stackexchange.com/questions/3313374/limit-of-the-quotient-of-exponentials