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Question : in any triangle ∆ABC find the Least value of {(Sin^2A + SinA + 1)÷(SinA)}

Question : in any triangle ∆ABC find the Least value of {(Sin^2A + SinA + 1)÷(SinA)}

Grade:11

1 Answers

Vijay Mukati
askIITians Faculty 2590 Points
4 years ago
Dear Student,

Given equatin can be simplified to – (Sin A + 1/ sinA + 1):

Using AM >= GM, we can get the lest value of sinA + 1/sinA >= 2,
ThusFor (Sin A + 1/ sinA + 1): the least value will be 2 +1 = 3.

Best of luck!
Vijay

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