Answer :

max. value = 4, min. value = 6

f(x)=sin2x+5


We know that,


-1≤sinӨ≤1


-1≤sin2x≤1


Adding 5 on both sides,


-1+5≤sin2x+5≤1+5


4≤sin2x+5≤6


Hence


max value of f(x)=2x+5 will be 6


Min value of f(x) =2x+5 will be 4


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