1.
If x=∑n=0∞(−1)ntan⁡2nθx = \sum\limits_{n=0}^{\infty} (-1)^n \tan^{2n} \theta and y=∑n=0∞cos⁡2nθy = \sum\limits_{n=0}^{\infty} \cos^{2n} \theta, for 0<θ<π40 < \theta < \dfrac{\pi}{4}, then