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Prove that tan 9^(@) - tan 27^(@) -tan ...

Prove that `tan 9^(@) - tan 27^(@) -tan 63^(@) + tan 81^(@) =4`

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Prove that: i) tan36^(@)+tan9^(@)+tan36^(@)tan9^(@)=1

Statement-1: sin^(2)6^(@) + sin^(2)12^(@) + sin^(2)18^(@) +……..+ sin^(2)84^(@)=7 Statement-2: tan9^(@) tan27^(@) tan45^(@) tan36^(@) tan81^(@)=1 Statement-3: (tan(pi/4) + cot(pi/4) + " cosec " pi/4) (tan(pi/4) + cot(pi/4) - " cosec "pi/4) = sec ^(2)pi/3