" Life is not a problem to be solved but a reality to be experienced! "
© Copyright 2013 - 2024 KUDO.TIPS - All rights reserved.
![$\begin{align}\frac{\sin^2x}{1-\sin^2x}+\frac{\cos^2x}{1-\cos^2x}&=\tan^2x+\cot^2x \\ \frac{\sin^2x}{(\sin^2x+\cos^2x)-\sin^2x}+\frac{\cos^2x}{(\sin^2x+\cos^2x)-\cos^2x}&=\tan^2x+\cot^2x \\ \frac{\sin^2x}{\cos^2x}+\frac{\cos^2x}{\sin^2x}&=\tan^2x+\cot^2x\\\left[\frac{\sin x}{\cos x}\right]^2+\left[\frac{\cos x}{\sin x}\right]^2&=\tan^2x+\cot^2x \\ \tan^2x+\cot^2x&=\tan^2x+\cot^2x\end{align}](https://tex.z-dn.net/?f=%24%5Cbegin%7Balign%7D%5Cfrac%7B%5Csin%5E2x%7D%7B1-%5Csin%5E2x%7D%2B%5Cfrac%7B%5Ccos%5E2x%7D%7B1-%5Ccos%5E2x%7D%26%3D%5Ctan%5E2x%2B%5Ccot%5E2x+%5C%5C+%5Cfrac%7B%5Csin%5E2x%7D%7B%28%5Csin%5E2x%2B%5Ccos%5E2x%29-%5Csin%5E2x%7D%2B%5Cfrac%7B%5Ccos%5E2x%7D%7B%28%5Csin%5E2x%2B%5Ccos%5E2x%29-%5Ccos%5E2x%7D%26%3D%5Ctan%5E2x%2B%5Ccot%5E2x+%5C%5C+%5Cfrac%7B%5Csin%5E2x%7D%7B%5Ccos%5E2x%7D%2B%5Cfrac%7B%5Ccos%5E2x%7D%7B%5Csin%5E2x%7D%26%3D%5Ctan%5E2x%2B%5Ccot%5E2x%5C%5C%5Cleft%5B%5Cfrac%7B%5Csin+x%7D%7B%5Ccos+x%7D%5Cright%5D%5E2%2B%5Cleft%5B%5Cfrac%7B%5Ccos+x%7D%7B%5Csin+x%7D%5Cright%5D%5E2%26%3D%5Ctan%5E2x%2B%5Ccot%5E2x+%5C%5C+%5Ctan%5E2x%2B%5Ccot%5E2x%26%3D%5Ctan%5E2x%2B%5Ccot%5E2x%5Cend%7Balign%7D "$\begin{align}\frac{\sin^2x}{1-\sin^2x}+\frac{\cos^2x}{1-\cos^2x}&=\tan^2x+\cot^2x \\ \frac{\sin^2x}{(\sin^2x+\cos^2x)-\sin^2x}+\frac{\cos^2x}{(\sin^2x+\cos^2x)-\cos^2x}&=\tan^2x+\cot^2x \\ \frac{\sin^2x}{\cos^2x}+\frac{\cos^2x}{\sin^2x}&=\tan^2x+\cot^2x\\\left[\frac{\sin x}{\cos x}\right]^2+\left[\frac{\cos x}{\sin x}\right]^2&=\tan^2x+\cot^2x \\ \tan^2x+\cot^2x&=\tan^2x+\cot^2x\end{align}")