Find maximum and minimum values of 3sin^2x - 2cos^2X + 9
 

3sin2x-2cos2x+9=3sin2x-21-sin2x+9=3sin2x-2+2sin2x+9=5sin2x+7We know0sin2x105sin2x50+75sin2x+75+775sin2x+712Maximum value of given expression=12Minimum value of given expression=7

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