tan 5 tan 25 tan 30 tan 65 tan 85 =1 upon root 3
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tan5 ×tan25× tan30× tan65 ×tan85 =1/√3
L.H.S
tan(90-85)× tan(90-65)× tan30 ×tan65× tan85
we know that tan(90- thetha) =cot thetha
so,
=cot85 ×cot 65×tan30× tan65 × tan85
=tan30. ( cot×tan=1)
=1/√3. (tan30=1/√3)
=R.H.S.
hence lhs=rhs
hence proved
hope it will really help u
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