Q54 of 55 Page 35

State True or False for the statement

The minimum value of n for which tan^-1 n/pi > pi /4 , n inn is valid is 5.

False



As, tan is an increasing function, so applying tan on both sides


we get,



As,


So,


⇒ n > π


⇒ n > 3.14


As, n is a natural number, so least value of n is 4.


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51

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 53

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 55

State True or False for the statement

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