Question

1/sinA+cosA+1/sinA-cosA

Answer 1

$$\frac {1}{\sin \alpha + \cos \alpha} + \frac {1}{\sin \alpha - \cos \alpha} = \frac {\sin \alpha - \cos \alpha + \sin \alpha + \cos \alpha}{(\sin \alpha + \cos \alpha) (\sin \alpha - \cos \alpha)} = \frac {2 \sin \alpha}{\sin^ {2} \alpha - \cos^ {2} \alpha} = \frac {2 \sin \alpha}{\sin^ {2} \alpha - (1 - \sin^ {2} \alpha)} = \frac {2 \sin \alpha}{2 \sin^ {2} \alpha - 1}$$