Minimum value

VITEEE Tutorials › Trignometry questions › Minimum value

If A+B+C=pi
FInd the least value of 2tanA + √3tan B + tanc.

#Mathematics #Trignometry

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7 Answers

11

sagnik sarkar ·2010-11-12 22:21:51

No one replying.Please try!!

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62

Lokesh Verma ·2010-11-13 02:42:35

sagnik.. is nothing given about the triangle being acute?

because this information is insufficient...

chose aâ‰ˆ-pi/2

and b and c reasonably at pi and 0 to get -infinity!

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71

Vivek @ Born this Way ·2010-11-13 21:07:56

Sir, What if it was given that the triangle is acute.!!

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Avinav Prakash ·2010-11-13 21:26:21

the value would be least for a equilateral triangle.
A=B=C=60Â°

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71

Vivek @ Born this Way ·2010-11-13 21:28:02

Hmm... How can you prove that?

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Lokesh Verma ·2010-11-13 21:42:01

no avinav.. that is not correct...
Cauchy-Schwarz_inequality

Here the equality holds if the ratio of xj's is same as that of yj's

Now solve...

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Vivek @ Born this Way ·2010-11-13 22:26:45

Still out of idea sir.!!

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Your Answer

Basic Integral Calculus Operators Symbols Matrix Cases

√ √ || {} [] () → ~ ^ x x x → → ln log lg lim lim cos sin tan cot arcsin arccos arctan

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° ∂ ∞ α β γ δ θ λ μ ν ξ π ρ σ φ ω ε ƒ κ τ υ Γ Δ Λ Σ Π Ω