Question

Plz prove
cosecA-1/cosecA+1=(cosA/1+ sin)^2

Answer 1

cosecA-1/cosecA+1 = (cosA/1+sinA)^2

= (1/sinA)-1/(1/sinA-1) =(cos^2A/(1+sinA)^2)

(1-sinA/sinA)/(1+sinA/sinA)=(1-sin^2A)/(1+sinA)(1+sinA)

1-sinA/1+sinA=(1-sinA)(1+sinA)/(1+sinA)(1+sinA)

1-sinA/1+sinA=1-sinA+1+sinA

Hence,Proved.