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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