How to solve trigonometric equations by just looking at the form...
For e.g., proving $$\cos A - \sin A + \dfrac {1}{\cos A + \sin A} - 1 = \csc A + \cot A$$
First of all I know the LHS is in basic T-ratio so I don't need to convert them but if I divide LHS by $\cos A$ it changes to $\tan A$ and $\csc A$. How do I solve questions like these which have + - pattern?
Although I did it but I want to do some other way as well.