If cos (x-y)/cos (x+y)+cos (z+t)/cos (z-t)=0, then the value of expression tan x tan y tan z tan ...

If cos (x-y)/cos (x+y)+cos (z+t)/cos (z-t)=0, then the value of expression tan x tan y tan z tan t is equal to
(1) 1
(2) -1
(3) 2
(4) -2

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