Question

prove that Cos A minus Sin A + 1 / Cos A + Sin A minus 1 is equal to cosec A + cot a​

Answer 1

Hope it'll help............

Answer 2

Step-by-step explanation:

dividing numerator and denominator in LHS by sinA

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

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

=using identity 3

(cosecA+cotA) -(cosec^2A-cot^2A)/cotA+1-cosecA

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

=cosecA+cotA

so RHS=LHS