Published by:
CGP EDU Academic Team
Published on: August 13, 2026
The minimum value of tan B tan C in an acute angled triangle ABC is-
A
B
C
D
Text Solution
Verified by ExpertsThe correct answer is:
D
Let x = tanB tanC
tanA = 
by A.M. ≥ G.M.
⇒ x – 2cotA . 
– 1 ≥ 0
⇒ ( 
– cotA) 2 – cosec 2 A ≥ 0
⇒ 
– cotA – cosecA ≥ 0 ⇒ x ≥ 
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