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2 tan² A - 2 sec² A + 5 
-2 (sec² A - tan² A) + 5
-2 * 1 + 5 = -3

That does not depend on value of A or sin A equals or not equals cos A.

is the question rightly presented ?

there is no problem in question, i guess .......
-2+5=3 not -3
okay. u r right. thanks.