please help!!!!!

e^sinx+e^-sinx=4

Find the maximum value of x.

2 Answers

262

Aditya Bhutra ·2011-06-25 06:06:14

let e^sinx =z

z+1/z =4
or, z= 2Â±âˆš3

e^sinx =2 Â±âˆš3
taking log ,

sinx = ln (2 Â±âˆš3 )
ln(2 +âˆš3 ) >1
ln(2 -âˆš3 ) <1

hence this is not true for any x .

hmmm........

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