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$The min. value of 2^{\sin x} + 2^{\cos x} =$

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Correct option is B

We have2sinx+2cosx2≥2sinx·2cosx ∵AM≥GM ≥2sinx+cosx2 ≥2-22 ≥2-12 ⇒2sinx+2cosx≥2.2-12 ≥21-12

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The min. value of 2sinx+2cosx=

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$The min. value of 2^{\sin x} + 2^{\cos x} =$