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: Problem 1
[IMG]
The radius of the circle above is
$$1$$
, and it is centered at the origin. This is called a “unit circle.” Find the coordinates of the point marked at
$${45^{\circ}}$$
.
Problem 2
[IMG]
The radius of the circle above is
$$1$$
, and it is centered at the origin. Find the coordinates of the point marked at
$$150^{\circ}$$
.


aligns: yes