Answers

2016-05-07T18:20:56+05:30
12sinx - 9sin^2x can be written as below by completing the squares method,
= 4 - ( 9sin^2x - 12sinx + 4 )
= 4 - ( 3sinx -2 )^2
= 4 - z^2
Now, the above expression will have maximum value only when z = 0.
so, maximum value is 4 and occurs when sinx = 2/3.
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