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If 2tan10^@+tan50^@=2x,tan20^@+tan50^@=2...

If `2tan10^@+tan50^@=2x,tan20^@+tan50^@=2y,2tan50^@+tan70^@=2w and tan20^@+tan70^@=2z,` which of the following is/true

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tan 10^(@)*tan20^(@)*tan30^(@)*tan40^(@)*tan50^(@)*tan60^@tan70^(@)*tan80^(@)=