Find an Equation for the Line Tangent to the Curve $$x = t + \cos t , y = 2 - \sin t , t = \frac { \pi } { 6 }$$

question 208

Multiple Choice

Find an equation for the line tangent to the curve at the point defined by the given value of t.
- $$x = t + \cos t , y = 2 - \sin t , t = \frac { \pi } { 6 }$$

• A) \(y = - \sqrt { 3 } x + \frac { 3 } { 2 }\)
• B) \(y = - \sqrt { 2 } x - \frac { \sqrt { 2 } } { 4 } \pi + 2\)
• C) \(y = - \sqrt { 3 } x + \frac { \sqrt { 3 } } { 6 } \pi + 3\)
• D) \(y = \sqrt { 3 } x - \frac { \sqrt { 3 } } { 6 } \pi\)

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