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If sin(x) > 0, then what is the minimum value of  \sin x+\csc x

Option: 1

1


Option: 2

2


Option: 3

\sqrt{2}


Option: 4

None of these 


Answers (1)

best_answer

\text {For all positive values }A.M. \geq G.M.\\ \frac{\sin x+\csc x}{2} \geq (\sin x \csc x)^\frac{1}{2}\\\\ \sin x + \csc x \geq 2

Hence minimum value of f(x) is 2

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