Question

Prove that
COTA + Cosec A-1/
COT A - CosecA +1
=
1+ Cot A/
Sin A​

Answer 1

Step-by-step explanation:

cosecA+cotA-1/cotA-cosecA+1

=(cosecA+cotA)-(cosec²A-cot²A)/(cotA-cosecA+1)

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

=cosecA+cotA

=1+cosA/sinA