If e^((cos^2x+cos^4+cos^x……)log3) satisf...

If `e^((cos^2x+cos^4+cos^x……)log3)` satisfies the equation `t^2-8t-9=0` then the value of `tan x,(0ltxltpi/2)` is
(A) `sqrt(3)`
(B) `sqrt(2)`
(C) 1
(D) `1/sqrt(2)`

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