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If alpha, beta are roots of x^2 sintheta...

If `alpha, beta` are roots of `x^2 sintheta-(costhetasintheta+1)x+costheta=0` where `alphaltbeta` and `thetaepsilon(0,pi//4)` then value of `sum_(n=0)^oo(alpha^n +((-1)^n)/beta^n)` (A) `(1-costheta)/(sintheta)+(1-sintheta)/(costheta)` (B) `1/(1+costheta)+1/(1-sintheta)` (C) `1/(1-costheta)+1/(1-sintheta)` (D) `1/(1-costheta) +1/(1+sintheta)`

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