Published by:
CGP EDU Academic Team
Published on: August 13, 2026
If 2tan 2 x – 5 secx – 1 = 0 has 7 different roots in 
, n ∈ N, then find the greatest value of n.
Text Solution
Verified by ExpertsThe correct answer is:
15
(15)
2 tan 2 x – 5 sec x – 1 = 0 ⇒ 2(sec 2 x – 1) – 5 sec x – 1 = 0 ⇒ 2 sec 2 x – 5 sec x – 3 = 0
⇒ sec x = 
, 
= 3, 
⇒ sec x = 3 
⇒ cos x = 
⇒ 7 solutions in 
∴ n = 15.
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