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US-VA

Math

Virginia Math

Trigonometry: Graphs of Trigonometric Functions

Sketch the graph of the six parent trigonometric functions (sine, cosine, tangent, cosecant, secant, and cotangent) for at least a two-period interval.
Determine the domain and range, amplitude, period, and asymptote locations for a trigonometric function, given a graph or an equation.
Describe the effects of changing the parameters (𝐴, 𝐵, 𝐶, or 𝐷 in the standard form of a trigonometric equation) on the graph of the function using graphing technology.
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Sketch the graph of a transformed sine, cosine, and tangent function written in standard form by using transformations for at least a two-period interval, including both positive and negative values for the domain.
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Apply trigonometric functions and their graphs to represent periodic phenomena.
Determine the domain and range of the inverse trigonometric functions.
Use the restrictions on the domain of an inverse trigonometric function to determine a value of the inverse trigonometric function.
Graph inverse trigonometric functions.
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