#### T.1: Represent and compare numbers in various forms and perform operations.

T.1.b: Determine the product and quotient of complex numbers in trigonometric form.

Points in the Complex Plane

T.1.d: Explain the addition formulas for sine and cosine and use them to prove (or simplify) other trigonometric functions.

Sum and Difference Identities for Sine and Cosine

#### T.2: Investigate basic concepts of vectors and operations with vectors.

T.2.b: Analyze properties of vectors and the effects of these properties on operations with vectors.

Adding Vectors

Vectors

#### T.3: Compare and produce equivalent forms of trigonometric expressions and solve trigonometric equations.

T.3.b: Identify and apply trigonometric identities.

Simplifying Trigonometric Expressions

Sine, Cosine, and Tangent Ratios

Sum and Difference Identities for Sine and Cosine

T.3.c: Verify identities analytically and with technology.

Sum and Difference Identities for Sine and Cosine

#### T.4: Use geometric modeling to analyze trigonometric relationships.

T.4.b: Apply the six trigonometric functions in relation to a right triangle to solve real-world applications and problems in mathematical settings.

Cosine Function

Sine Function

Sine, Cosine, and Tangent Ratios

Tangent Function

T.4.d: Recognize, sketch, and interpret graphs of the six trigonometric functions and include restrictions on their domain.

Cosine Function

Sine Function

Tangent Function

Translating and Scaling Functions

Translating and Scaling Sine and Cosine Functions

T.4.e: Model and apply right triangle formulas, Law of Sines, and Law of Cosines to problem-solving situations.

Cosine Function

Sine Function

Sine, Cosine, and Tangent Ratios

Tangent Function

#### T.5: Select and apply formulas to determine length and area.

T.5.a: Find arc length and sector area of a circle.

Inscribed Angles

T.5.b: Using graphs of functions of the form f(t) = A sin (Bt + C) or f(t) = A cos (Bt + C), interpret A, B, C in terms of amplitude, frequency, period, and phase shift.

Cosine Function

Sine Function

Tangent Function

Translating and Scaling Functions

Translating and Scaling Sine and Cosine Functions

Correlation last revised: 5/17/2018