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Questions  

If 4nα=π then the value of  tan⁡α tan⁡2α tan⁡3α…tan⁡(2n−1)α is 

a
-1
b
0
c
1
d
none of these

detailed solution

Correct option is C

tan⁡(2n−1)α=tan⁡(π/2−α)=cot⁡α tan⁡(2n−2)α=cot⁡2α  and so on. So the required  value is 1.

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