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cot¯¹ n/Π>Π/6 n belongs to natural numbers, then the maximum value of n is (a) 1 (b) 5 (c) -5 (d) none of these

cot¯¹ n/Π>Π/6 n belongs to natural numbers, then the maximum value of n is


(a) 1


(b) 5


(c) -5


(d) none of these

Grade:12

2 Answers

Ramesh V
70 Points
12 years ago


     

4076-74_5850_cotx.gif

From the graph ,we can see that cot x is periodic function with period as  Π .

hence ,cot¯¹ n/Π > Π/6  can be found only for ( 0 , Π )

                       n/Π > cot Π/6

                       n/Π > 31/2

                       n >  Π.31/2

                       n > 5.43  or n>=6  

answer: none of these

--

regards

Ramesh

A B
11 Points
4 years ago
Actually since cos is a decreasing function for the specified range therefore n

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