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Math

New York Math

Algebra II: Functions - Trigonometric Functions

Extend the domain of trigonometric functions using the unit circle.

AII-F.TF.1

Not covered
Understand radian measure of an angle as the length of the arc on the unit circle subtended by the angle.
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AII-F.TF.4

Fully covered
Use the unit circle to explain symmetry (odd and even) and periodicity of trigonometric functions.

Model periodic phenomena with trigonometric functions.

AII-F.TF.5

Fully covered
Choose trigonometric functions to model periodic phenomena with specified amplitude, frequency, horizontal shift, and midline.
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Prove and apply trigonometric identities.

AII-F.TF.8

Fully covered
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.