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Norm Prokup

Brian McCall

#### Pythagorean Theorem

Pythagorean theorem covers proofs, formulas and applications related to this often used theorem. Topics include:

- Pythagorean Theorem Proofs
- Square Root Operations
- Using the Pythagorean Theorem to find a Missing Hypotenuse
- Using the Pythagorean Theorem to find a Missing Leg
- Space Diagonals
- Converse of the Pythagorean Theorem
- 45-45-90 Triangles
- 30-60-90 Triangles
- Distance Formula
- Equation of a Circle
- Calculating Coordinates in the Unit Circle

#### Basic Trigonometry

Basic trigonometry covers the definitions and formulas for the basic trigonometric ratios, as well as the fundamental theorems and some applications Topics include:

#### Trigonometric Functions

Trigonometric functions covers the concepts, formulas, and graphs used in trigonometry, and introduces some of the basic identities Topics include:

- Radian Measure of Angles
- The Definitions of Sine and Cosine
- Evaluating Sine and Cosine at Special Acute Angles
- Evaluating Sine and Cosine at Other Special Angles
- Graphs of the Sine and Cosine Functions
- Transforming the Graphs of Sine and Cosine
- More Transformations of Sine and Cosine
- Find an Equation for the Sine or Cosine Wave
- The Tangent Function
- Evaluating the Tangent Function
- Graph of the Tangent Function
- Transforming the Tangent Graph
- Intercepts and Asymptotes of Tangent Functions
- Trigonometric Identities
- The Reciprocal Trigonometric Functions
- Graphing the Reciprocal Trigonometric Functions
- Using Trigonometric Identities
- Transforming the Cotangent Graph
- Transforming Secant and Cosecant
- Asymptotes of Secant, Cosecant, and Cotangent

#### Advanced Trigonometry

Advance trigonometry covers the inverse trigonometric functions, solving equations involving trig concepts, and additional identities, including those of double and half angles Topics include:

- The Inverse Sine Function
- The Inverse Cosine Function
- The Inverse Tangent Function
- Using the Inverse Trigonometric Functions
- Solving Trigonometric Equations
- Trigonometric Equations that Require Factoring
- The Cosine Addition Formulas
- The Sine Addition Formulas
- Using the Sine and Cosine Addition Formulas to Prove Identities
- The Double-Angle Formulas
- Other Forms of the Cosine Double-Angle Formula
- The Half-Angle Identities
- Angle Inclination of a Line