Mathematics

Problem

Let the polar curve be

r=2+\sin\theta

. Determine the equation of the tangent line in slope–intercept form at

\theta=\dfrac{\pi}{6}

. a)

y=3\sqrt{3}\,x+\dfrac{25}{2}

y=-3\sqrt{3}\,x-\dfrac{25}{2}

y=-3\sqrt{3}\,x+\dfrac{25}{2}

y=-\dfrac{\sqrt{3}}{3}\,x+\dfrac{25}{2}