Find an Equation for the Line Tangent to the Curve $$x = \sin t , y = 6 \sin t , t = \frac { \pi } { 3 }$$

question 68

Multiple Choice

Find an equation for the line tangent to the curve at the point defined by the given value of t.
- $$x = \sin t , y = 6 \sin t , t = \frac { \pi } { 3 }$$

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