Virginia- Mathematics: Trigonometry

VA--Standards of Learning    Adopted: 2016

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TCTF: Triangular and Circular Trigonometric Functions

TCTF.T.1: The student, given a point on the terminal side of an angle in standard position, or the value of the trigonometric function of the angle, will determine the sine, cosine, tangent, cotangent, secant, and cosecant of the angle.

Cosine Function
 Sine Function
 Tangent Function

TCTF.T.2: The student will develop and apply the properties of the unit circle in degrees and radians.

Cosine Function
 Sine Function
 Tangent Function

GTF: Graphs of Trigonometric Functions

GTF.T.3: The student, given one of the six trigonometric functions in standard form, will

GTF.T.3.b: determine the amplitude, period, phase shift, vertical shift, and asymptotes;

Cosine Function
 Sine Function
 Tangent Function
 Translating and Scaling Sine and Cosine Functions

GTF.T.3.c: sketch the graph of the function by using transformations for at least a two-period interval; and

Translating and Scaling Sine and Cosine Functions

GTF.T.3.d: investigate the effect of changing the parameters in a trigonometric function on the graph of the function.

Translating and Scaling Sine and Cosine Functions

EI: Equations and Identities

EI.T.5: The student will verify basic trigonometric identities and make substitutions, using the basic identities.

Simplifying Trigonometric Expressions
 Sum and Difference Identities for Sine and Cosine

EI.T.7: The student will determine the value of any trigonometric function and inverse trigonometric function.

Cosine Function
 Sine Function
 Tangent Function

ATF: Applications of Trigonometric Functions

ATF.T.8: The student will create and solve practical problems involving triangles.

Sine, Cosine, and Tangent Ratios

ATF.T.9: The student will solve problems, including practical problems, involving

ATF.T.9.b: linear and angular velocity.

Moment of Inertia

Correlation last revised: 9/16/2020

This correlation lists the recommended Gizmos for this state's curriculum standards. Click any Gizmo title below for more information.