Published by:
CGP EDU Academic Team
Published on: August 13, 2026
For any acute angled Δ ABC , find the maximum value of 
+ 
+ 
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
Sol. Let f(x) = 
f’(x) = 
= 
< 0 
x ∈ 
; ( ∴ tanx > x)
f’’(x) = 
Let g(x) = – x 2 sinx – 2xcosx + 2sin x
g’(x) = – x 2 cosx < 0 ∀ x ∈ (0, π /2)
for x > 0 , we have g(x) < g(0) i.e. g(x) < 0
∴ f’(x) < 0 and f’’(x) < 0 ∀ x ∈ 
⇒ f 
> 
⇒ 
> 
⇒ 
< 
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