Find an Equation of the Tangent to the Curve at the Point

question 52

Multiple Choice

Find an equation of the tangent to the curve at the point corresponding to the given value of the parameter. $$x = \cos \theta + \sin 2 \theta + 8 , y = \sin \theta + \cos 2 \theta + 8 , \theta = \pi$$

• A) \(y = \frac { x } { 2 } + 2\)
• B) \(y = \frac { 2 } { x }\)
• C) \(y = \frac { x } { 2 } + \frac { 3 } { 2 }\)
• D) \(y = \frac { 25 } { 2 } - \frac { x } { 2 }\)
• E) None of these