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Question
The minimum value of n for which `tan^-1 "n"/pi > pi/4`, n ∈ N, is valid is 5.
Options
True
False
Solution
This statement is False.
Explanation:
`tan^-1 "n"/pi > pi/4`
⇒ `"n"/pi > tan pi/4`
⇒ `"n"/pi > 1`
⇒ `"n" > pi`
So, the minmum value of n is 4.
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