IIT JEE , AIEEE Forum - Mathematics , Algebra - a problem: find minimum value of "(2^sin¤)+(2^cos¤)"

Discussion Response Post to: a problem: find minimum value of "(2^sin¤)+(2^cos¤)"

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28 Apr 2008 19:17:51 IST

Subject: Re:a problem: find minimum value of "(2^sin¤)+(2^cos¤)"

computer001 (1847)

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$({2}^{sinx}+{2}^{cosx})/2\; \ge\; {2}^{(sinx+cosx)/2}$ $\ge {2}^{-\sqrt{2}/2}$

$so\; {2}^{sinx}+{2}^{cosx}\ge{2}^{1-1/\sqrt{2}}$

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this reply: 5 points (with 1 Olaaa!! Perrrfect answer.

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