Find All Points (If Any) of Horizontal and Vertical Tangency $x = 7 + 3 \cos \theta , y = - 3 + \sin \theta$

Multiple Choice

Find all points (if any) of horizontal and vertical tangency to the curve $x = 7 + 3 \cos \theta , y = - 3 + \sin \theta$

A) horizontal tangents: $( 7 , - 2 ) , ( 7 , - 4 )$ , vertical tangents: $( 10 , - 3 ) , ( 4 , - 3 )$
B) horizontal tangents: $( 10 , - 3 ) , ( 4 , - 3 )$ , vertical tangents: $( 7 , - 2 ) , ( 7 , - 4 )$
C) horizontal tangent: $( 7 , - 2 )$ , vertical tangent: $( 10 , - 3 )$
D) horizontal tangents: $( 7 , - 4 ) , ( 7 , - 4 )$ , vertical tangents: $( 10 , - 3 ) , ( 4 , - 3 )$
E) horizontal tangent: $( 10 , - 3 )$ , vertical tangent: $( 7 , - 2 )$