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6.08 Bonus Video: Law of Sines—The Ambiguous Case

The Law of Sines can be used to solve for sides and angles of oblique triangles. However, in some cases more than one triangle may satisfy the given conditions. We refer to this as an ambiguous case.

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8 Chapter 5: Introduction to Trigonometry and Graphs

In this chapter, we will explore angle measures and the trigonometric ratios, including graphing and inverses.

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5 Chapter 7: Sequences and Series

In this chapter, we introduce sequences and series, some of their applications, and the Binomial Theorem.

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3 Chapter 4: Systems of Equations

In this chapter, we will explore the methods used to solve systems of equations, and real-world situations involving systems of equations.

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6 Chapter 2: Polynomial and Rational Functions

In this chapter, we will explore beyond linear functions and learn about polynomial and rational functions.

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8 Chapter 6: Trigonometric Identities and Applications

In this chapter, students will learn a robust list of trigonometric identities along with their applications. Students will also be introduced to vectors.

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7 Chapter 8: Conic Sections, Parametric Equations, and Polar Coordinates

In this chapter, we introduce conic sections, parametric equations, and polar coordinates.

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5 Chapter 1: Introduction to Functions and Graphs

In this chapter, students are introduced to lines, functions, and graphs of functions.

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8 Chapter 3: Exponential and Logarithmic Functions

In this chapter, students are introduced to exponential and logarithmic functions. Students will learn about the functions' graphs, how to solve equations involving those functions, and their real-world applications.

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Introducing Conic Sections

Given a verbal description or a pictorial representation, the student will describe a conic section as the intersection of a cone and a plane.

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Graphing Conic Sections: Ellipses

Given an equation, the student will use parameter changes to graph an ellipse and to identify the changes in the graph of an ellipse.

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Graphing Conic Sections: Hyperbolas

Given an equation, the student will use parameter changes to graph a hyperbola and to identify the changes in the graph of a hyperbola.

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5.01 Radians and Degree Measurements

In this video, students will learn the basics of angle measurements, definitions of various types of angles, radians and degrees, along with arc length and area of a sector.

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5.02 Linear and Angular Velocity

In this video, students will learn about angular and linear velocity and how each relates to unit conversions.

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5.03 Trigonometric Ratios

In this video, we will define the trigonometric ratios in terms of the sides of a right triangle.

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5.04 Trigonometric Angles and the Unit Circle

In this video, students will learn special angles and the unit circle, and learn how to apply them.

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5.05 Graphs of Sine and Cosine

In this video, students will learn how to graph sine and cosine and how to interpret graphs of sine and cosine.

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5.06 Graphs of Secant and Cosecant

In this video, students will learn how to graph and interpret graphs of secant and cosecant, and how secant and cosecant relate to sine and cosine.

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5.07 Graphs of Tangent and Cotangent

In this video, students will learn how to graph and how to interpret graphs of tangent and cotangent.

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5.08 Inverse Trigonometric Functions and Graphs

In this video, students will explore the relationship between trigonometric functions and their inverses.