### 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: 1/22/2020