standard_description: Explain how the unit circle in the coordinate plane enables the extension of trigonometric functions to all real numbers, interpreted as radian measures of angles traversed counterclockwise around the unit circle.
problem_activity: Draw and label a figure on the circle that illustrates the relationship of the trigonometric tangent functions
$${\mathrm{tan}=\frac{\mathrm{sin}(\theta^\circ)}{\mathrm{cos}(\theta^\circ)}}$$
and the geometric tangent line to a circle through the point
$${(1,0)}$$
when
$${\theta=60}$$
. Explain the relationship, labeling the figure as needed.
[IMG]


aligns: yes