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((1(secA.secA-cosA.cosA))-(1/(cosecA.cosecA-sinA.sinA))).sinA.sinA.cosA.cosA=(1-cosA.cosA.sinA.sinA)/(2+cosA.cosA.sinA.sinA)

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what will be the rank of word OPTION in the dictionary of words formed by letters of the word OPTION prove using property of determinant

1. a+b+c -c -b

-c a+b+c -a = 2(a+b)( b+c ) (c+a)

-b -a a+b+c