### A: Mathematical Proof

#### A.4: To use properties of numbers to justify solutions of alge-numeric exercises.

Solving Algebraic Equations II

### B: Conic Sections

B.1.a: To convert the equation of a circle from the general form to the standard form and vice versa.

Circles

B.1.b: To sketch the graph of a circle.

Circles

B.2.a: To convert the equation of a parabola from the general form to the standard form and vice versa.

Parabolas

B.2.b: To sketch the graph of a parabola.

Addition and Subtraction of Functions

Parabolas

Zap It! Game

B.3.a: To convert the equation of an ellipse from the general form to the standard form and vice versa.

Ellipses

B.3.b: To sketch the graph of an ellipse.

Ellipses

B.4.a: To convert the equation of a hyperbola from the general form to the standard form and vice versa.

Hyperbolas

B.4.b: To sketch the graph of a hyperbola.

Hyperbolas

#### B.5: To examine the coefficients of the second degree equation Ax² + B² + Cx + Dy + E = 0 and identify the conic section it represents.

Addition and Subtraction of Functions

Circles

Ellipses

Hyperbolas

Parabolas

### C: Circular Functions

#### C.2: To determine values of the primary and reciprocal trigonometric ratios.

Cosine Function

Simplifying Trigonometric Expressions

Sine Function

Sine, Cosine, and Tangent Ratios

Sum and Difference Identities for Sine and Cosine

Tangent Function

#### C.3: To determine the radian measures of angles, to convert from radians to degrees and vice versa.

Cosine Function

Sine Function

Tangent Function

#### C.6: To define and illustrate the following terms: periodic function, amplitude, domain, range, minimum value, maximum value, translation, wave motion, sinusoidal functions.

Introduction to Exponential Functions

Translating and Scaling Sine and Cosine Functions

Translations

#### C.7: To state the range, period, amplitude, phase shift, minimum and maximum values and to sketch the graphs of:

C.7.a: y - k = a sin(x-h)

Cosine Function

Sine Function

Translating and Scaling Sine and Cosine Functions

C.7.b: y - k = a cos(x-h)

Cosine Function

Sine Function

Translating and Scaling Sine and Cosine Functions

C.7.c: y - k = a tan(x-h)

Tangent Function

### D: Applications of Trigonometry

#### D.1: To define and illustrate the following terms: angles of elevation and depression, heading, bearing, compass direction.

Sine, Cosine, and Tangent Ratios

### E: Trigonometric Identities

#### E.1: To prove and apply the reciprocal identities.

Simplifying Trigonometric Expressions

#### E.2: To prove and apply the quotient identities.

Simplifying Trigonometric Expressions

Sum and Difference Identities for Sine and Cosine

#### E.3: To prove and apply the Pythagorean identities.

Simplifying Trigonometric Expressions

#### E.4: To prove and apply the Addition/Subtraction identities.

Sum and Difference Identities for Sine and Cosine

#### E.6: To determine sin nf, where n is a natural number.

Cosine Function

Simplifying Trigonometric Expressions

Sine Function

Sine, Cosine, and Tangent Ratios

Sum and Difference Identities for Sine and Cosine

Correlation last revised: 9/16/2020