In any $\Delta \,ABC,\,\;{\rm{II}}\,\,\left( {\frac{{{{\sin }^2}\,\,A + \sin \,\,A + 1}}{{\sin \,\,A}}} \right)$ is always greater than

JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

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In any

\Delta \,ABC,\,\;\mathrm{II}\,\,\left( {\frac{{{{\sin }^2}\,\,A + \sin \,\,A + 1}}{{\sin \,\,A}}} \right)

is always greater than

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Correct option: C

Option C (27) is correct because the minimum value of the expression is 27, found by applying AM-GM inequality.

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