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Let t1 t2 t3 be three distinct point on circle |t| = 1 if x, y, z be the argument of t1 t2 t3 respectively then maximum value of cos(x-y) +cos(y-z) + cos(z-x)

Let t1 t2 t3 be three distinct point on circle |t| = 1 if x, y, z be the argument of t1 t2 t3 respectively then maximum value of cos(x-y) +cos(y-z) + cos(z-x)

Grade:12

3 Answers

mycroft holmes
272 Points
7 years ago
Bringing the 3 points infinitesimally close together, we can make the expression as close to 3 as we please. So the supremum is 3
Suchitransh
13 Points
5 years ago
Applying Jensen`s inequl
shibang
13 Points
3 years ago
use cauchy’s inequality … but easier method is to find relation between theta and angle..eg. here it is     
 2π/3=theta n+1-theta n

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