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Provide an Appropriate Response n>0\mathrm { n } > 0 Is an Even Integer, Then the Area of the Region

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True/False

Provide an appropriate response.
-True or false? If n>0\mathrm { n } > 0 is an even integer, then the area of the region enclosed by r=sinnθ\mathrm { r } = \sin \mathrm { n } \theta is twice the area of the region enclosed by r=sin[(n+1)θ]r = \sin [ ( n + 1 ) \theta ] .

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