Standard - AII.F.TF.1:
Understand radian measure of an angle as the length of the arc on the unit circle subtended by the angle.

Standard - AII.F.TF.2:
Apply concepts of the unit circle in the coordinate plane to calculate the values of the six trigonometric functions given angles in radian measure.

Standard - AII.F.TF.4:
Use the unit circle to explain symmetry (odd and even) and periodicity of trigonometric functions.

Standard - AII.F.TF.5:
Choose trigonometric functions to model periodic phenomena with specified amplitude, frequency, horizontal shift, and midline.

Standard - AII.F.TF.8:
Prove the Pythagorean identity sin²(θ) + cos²(θ) = 1. Find the value of any of the six trigonometric functions given any other trigonometric function value and when necessary find the quadrant of the angle.