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

question 34

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: \(( 7 , - 2 )\)

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