Question

1+cosecA+cotA/1+cosecA-cotA=cosecA+cotA-1/cotA-cosecA+1 prove it?

Answer 1

here is your proof
plz correct me if wrong
comment if correct
and
sorry for my handwriting

Answer 2

Answer:

Step-by-step explanation:

L.H.S

=1+cosecA+cotA/1+cosecA-cotA

                                  [Cosec^2-cot^2=1]

=CosecA^2-cotA^2+cosecA+cotA/1+cosecA-cotA

=(CosecA+cotA)(cosecA-cotA)+cosecA+cotA/1+coseA-cotA

=CosesA+cotA(cosecA-cotA+1)/1+coseA-cotA

=[CosecA+cotA ]LHS

RHS

=CosecA+cotA-1/cotA-cosecA+1

=CosecA+cotA-(cosecA^2-cotA^2)/cotA-cosecA+1

=CosecA+cotA-{(cosecA+cotA)(cosecA-cotA)}/cotA-cosecA+1

=(CosecA+cotA){1-(cosecA-cotA)}/cotA-cosecA+1

=(CosecA+cotA)(1-cosecA+cotA)/cotA-cosecA+1

[CosecA+cotA]  LHS=RHS