Question 914353
L.H.S. = {{{(1-sinA + cosA)^2 }}}

 = {{{1 + sin^2(A) + cos^2(A)-2sin(A)+ 2cos(A) -2 sin(A)cos(A)}}}

 ={{{ 1+ 1 - 2 sin(A) + 2 cos(A) - 2 sin(A) cos(A)}}}
 
 ={{{ 2 - 2 sin(A)+ 2cos(A) - 2sin(A) cos(A)}}} 

 ={{{2 ( 1( 1- sin(A)) + cos(A)( 1- sin(A)))}}}
 
 = {{{2 ( 1- sin(A) ) ( 1 + cos(A))}}} = R.H.S.