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STANDARDS

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US-GA

Math

Georgia Math

Precalculus: Functional & Graphical Reasoning – Trigonometric Relationships and Functions

PC.FGRb.3

Utilize trigonometric expressions to solve problems and model periodic phenomena with trigonometric functions.

PC.FGR.3.1

Not covered
Use the concept of a radian as the ratio of the arc length to the radius of a circle to establish the existence of 2π radians in one revolution.
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PC.FGR.3.2

Fully covered
Utilize right triangles on the unit circle to determine the values of the six trigonometric ratios for π/6, π/4, and π/3. Use reflections of the triangles as reference angles to establish known values in all four quadrants of the coordinate plane.

PC.FGR.3.3

Partially covered
Define the six trigonometric ratios in terms of x, y, and r using the unit circle centered at the origin of the coordinate plane. Interpret radian measures of angles as a rotation both counterclockwise and clockwise around the unit circle.

PC.FGR.3.4

Not covered
Derive the fundamental trigonometric identities.
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PC.FGR.3.5

Not covered
Determine the value(s) of trigonometric functions for a set of given conditions.
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PC.FGR.3.6

Fully covered
Graph and write equations of trigonometric functions using period, phase shift, and amplitude in modeling contexts.

PC.FGR.3.7

Not covered
Classify the six trigonometric functions as even or odd and describe the symmetry.
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PC.FGR.3.8

Mostly covered
Restrict the domain of a trigonometric function to create an invertible function and graph the inverse function. Evaluate inverse trigonometric expressions.