Prove that `(1+tan1^(@))(1+tan2^(@))....(1+tan4 5^(@))=2^(23)`A. `2^(21)`B. `2^(22)`C. `2^(23)`D. `2^(25)`

Prove that `(1+tan1^(@))(1+tan2^(@))....(1+tan4 5^(@))=2^(23)`A. `2^(2

1.	Prove that `(1+tan1^(@))(1+tan2^(@))....(1+tan4 5^(@))=2^(23)`A. `2^(21)`B. `2^(22)`C. `2^(23)`D. `2^(25)`
Answer» Correct Answer - C `(1+tantheta)(1+tan(45-theta)) = (1+tantheta) (1+(1-tantheta)/(1+tantheta)) = 2` `(1+tan1^(@))(1+tan44^(@)) = 2 etc` so product `= 2^(22) (1+tan45^(@)) = 2^(23)`

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Prove that `(1+tan1^(@))(1+tan2^(@))....(1+tan4 5^(@))=2^(23)`A. `2^(21)`B. `2^(22)`C. `2^(23)`D. `2^(25)`

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