Question

1-SinX/1+SinX=CosecX-1/CosecX+1​

Answer 1

Answer:

1-sinx / 1+sinx = cosecx -1 / cosecx +1

$\frac{1 - \sin(x) }{1 + \sin(x ) } \: \times \frac{1 - \sin(x) }{1 - \sin(x) } \: = \frac{cosecx - 1}{cosecx + 1 } \\ \frac{1 - \sin(x ) \times 1- \sin(x) }{1 + \sin(x) \times 1 - \sin(x ) } = \frac{ \csc(x - 1) }{ \csc( x + 1) }$