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Yahir Crane 2022-06-27 Answered
If 2 tan 2 x 5 sec x 1 = 0 has 7 roots in [ 0 , n π 2 ] then the greatest value of n is?
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Answers (1)

Zayden Andrade
Answered 2022-06-28 Author has 22 answers
We have cos x = 1 3 .
For n=1,5,9,13,⋯, the number of different roots in [ 0 , n π 2 ] is 1,3,5,7,⋯ respectively.
So, the greatest value of n is 13+2=15

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