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Questions  

If α=π14 then the value of (tanαtan2α+tan2αtan4α+tan4αtanα) is

a
1
b
12
c
2
d
13

detailed solution

Correct option is A

α+2α+4α=7α=π2∴ tan⁡α⋅tan⁡2α+tan⁡2α⋅tan⁡4α+tan⁡α⋅tan⁡4α=1

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