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Cross multiply the given equation:-
SinA + CosA - 1 + Sin²A + SinACosA - SinA = SinACosA - Cos²A + CosA

  Underlines terms on the two sides cancel out.
 Also SinA and  ( - Sina) on LHS cancel out.
Re-writing remaining terms:-
 - 1 + Sin²A = - Cos²A
Or Sin²A + Cos²A = 1 which is true

Hence given equation is proved.
Note: Cross-multiplication and simplifying to get the result as done above is one of the methods to prove when you cannot find other methods.
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