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[" For non-negative integer "n," let "f(...

[" For non-negative integer "n," let "f(n)=(sum_(n+2))/(sum_(k=0)^(n)sin^(2)((k+1)/(n+2)pi))" Assuming "cos^(-1)x" takes values in "|0,pi}],[qquad [" which of the following options is/are correct? "],[[" (A) "f(4)=(sqrt(3))/(2)," (B) "1f alpha=tan(cos^(-1)f(6))," then "a^(2)+2a-1=0],[" (C) "sin(7cos^(-1)f(5))=0," (D) "lim_(n rarr oo)f(n)=(1)/(2)]]]

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