Question

cos A - sin A +1
cos A + sin A-1 = cosec A + cot A
using the identity
cosec- A = 1 + cota A. [HOTS​

Answer 1

Step-by-step explanation:

firstly we will divide cosA-sinA+1 by sinA

it will be cotA-1+cosecA

________________

cotA+1‐cosecA

cotA+cosecA-(cosec²A-cot²A)

________________________________

cotA+1‐cosec A

=cotA+cosecA-[(cosecA+cotA)(cosecA‐cotA)

___________________________________

cotA+1‐cosecA

cosecA+cotA[1-cosecA+cotA]

________________________________

cotA+1‐cosecA

now cotA+1‐cosecA will be cancelled.

so answer will be cotA +cosecA

hope it helps u