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prove; 2^cosx +2^sinx > 2^[1-1/sqrt2]

prove; 2^cosx +2^sinx > 2^[1-1/sqrt2]

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1 Answers

Sourabh Singh IIT Patna
askIITians Faculty 2104 Points
9 years ago
Hii

Use AM >GM to find out the relation that will give us the the inequaliy and we will get the solution as 2^cosx +2^sinx > 2*sqrt(2^(cosx +sinx)) and you can see that the maximum value of cosx +sinx is sqrt (2) and you will see that you will get to the right answer after a bit of modification.


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