Topics Covered:

Drawing an arc to find a central angle or an arc length on the unit circle
Finding coordinates on the unit circle for special angles
Finding a point on the unit circle given one coordinate and the quadrant
Using the coordinates of points on the unit circle to define sine and cosine for all real numbers
Special triangles with a hypotenuse of length 1
Drawing a reference triangle on the unit circle and using it to derive values of trigonometric functions: Radians
Trigonometric functions and special angles: Problem type 1: Radians
Finding values of trigonometric functions from a point on the unit circle
Trigonometric functions and special angles: Problem type 2
Using the coordinates of points on the unit circle to define trigonometric functions for all real numbers
Trigonometric functions and special angles: Problem type 3
Evaluating expressions involving sine or cosine
Sketching an angle with absolute value less than 2π radians, and also its reference angle
Reference angles in radians: Problem type 1
Sketching an angle with absolute value greater than 2π radians, and also its reference angle
Reference angles in radians: Problem type 2
Using the unit circle to understand that sine and cosine are periodic
Using symmetries on the unit circle to understand trigonometric identities: Problem type 2
Using the unit circle to understand the odd and even identities for sine and cosine