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Math

Mississippi Math

Integrated Mathematics III: Functions: Trigonometric Functions (F-TF)

Extend the domain of trigonometric functions using the unit circle

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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F-TF.2

Fully covered
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.

Model periodic phenomena with trigonometric functions

F-TF.5

Fully covered
Choose trigonometric functions to model periodic phenomena with specified amplitude, frequency, and midline.

Prove and apply trigonometric identities

F-TF.8

Fully covered
Prove the Pythagorean identity sin(θ)^2 + cos(θ)^2 = 1 and use it to find sin(θ), cos(θ), or tan(θ), given sin(θ), cos(θ), or tan(θ) and the quadrant of the angle.