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If `x in(1, 30)` and `(1+tan x^(@))(1+tan(x+1)^(@))...(1+tan(x+44)^(@)) = 2^(23)` then value of x isA. `0`B. `1`C. `2`D. `3` |
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Answer» Correct Answer - B If `x epsilon (1, 30)` and ………… `x = 1` `(1+tan x^(@))(1+tan(x+1)^(@))…. (1+tan(x+44)^(@))ge(1+tan 1^(@))` `(1+tan 2^(@)) ……….. (1+tan 45^(@))` Now `(1+tan1^(@))(1+tan 44^(@))(1+tan2^(@))(tan 43^(@)+1)`……….. using `(1+tan x^(@))(1+tan(45-x^(@)))=2` `(1+tan 1^(@))(1+tan 2^(@))............ (1+tan 45^(@)) = 2^(23)` |
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