1.
If x=n=0(1)ntan2nθx = \sum\limits_{n=0}^{\infty} (-1)^n \tan^{2n} \theta and y=n=0cos2nθy = \sum\limits_{n=0}^{\infty} \cos^{2n} \theta, for 0<θ<π40 < \theta < \dfrac{\pi}{4}, then