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

True/False

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