(Solved): Consider the following. Parametric Equations Point \\[ x=\\cot (\\theta), \\quad y=\\sin (2 \\theta ...

Consider the following. Parametric Equations Point \\[ x=\\cot (\\theta), \\quad y=\\sin (2 \\theta) \\quad \\theta=\\frac{\\pi}{6} \\] (a) Use a graphing utility to graph the curve represented by the parametric equations. (b) Use a graphing utility to find \\( \\frac{d x}{d \\theta}, \\frac{d y}{d \\theta} \\), and \\( \\frac{d y}{d x} \\) at \\( \\theta=\\frac{\\pi}{6} \\). \\[ \\begin{array}{l} \\frac{d x}{d \\theta}= \\\\ \\frac{d y}{d \\theta}= \\\\ \\frac{d y}{d x}= \\end{array} \\]