### Home > CALC > Chapter 12 > Lesson 12.1.1 > Problem12-14

12-14.

Multiple Choice: The slope, $\frac { d y } { d x }$, of the polar curve $r =\operatorname{tan} θ$ is:

1. $\operatorname{sin} θ(1 + \operatorname{sec}^2 θ)$

1. $\operatorname{tan} θ(1 + \operatorname{sec}^2 θ)$

1. $\operatorname{sin} θ \operatorname{tan}^2 θ$

1. $\operatorname{tan}^3 θ$

1. $\operatorname{sec}^2 θ$

$y=r\sin(\theta)\text{ }x=r\cos(\theta)$
$y=\tan(\theta)\sin(\theta)\text{ }x=\tan(\theta)\cos(\theta)$
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