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The maximum value of 3cos theta+5sin{theta-π/6) for any real value of theta is

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The maximum value of 3cos θ+5sin{θ-π/6) for any real value of θ is 

A)\(\sqrt{19}\)

B)\(\sqrt{79}\over2\) 

C)\(\sqrt{31}\) 

D)\(\sqrt{34}\)

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The correct option is A) \(\sqrt{19}\)  

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