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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.
2.07 Lurking and Confounding Variables
In this video, students learn the difference between lurking and confounding variables and how they affect results.
2.08 Generalizability of Results and Conclusions
In this video, students learn how to interpret results and draw conclusions based on them.
6.01 Probability and the Law of Large Numbers
In this video, students are introduced to the concept of probability using the Law of Large Numbers.
6.02 Probability Terminology
In this video, students learn key terminology associated with probability.
6.03 Venn Diagrams
In this video, students represent and calculate probabilities using Venn diagrams.
6.04 Independent and Mutually Exclusive Events
In this video, students calculate probabilities for independent events and mutually exclusive events.
6.05 Contingency Tables
In this video, students calculate probabilities using a two-way contingency table.
6.06 Tree Diagrams
In this video, students calculate conditional probabilities using a tree diagram.
6.07 Discrete Random Variables
In this video, students are introduced to discrete random variables.
6.08 The Binomial Distribution
In this videos, students use the binomial distribution to find the expected value, variance, and probabilities associated with a binomial random variable.
6.09 Binomial Approximation
In this videos, students approximate the binomial distribution with the normal distribution for large samples.
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.
5.02 Linear and Angular Velocity
In this video, students will learn about angular and linear velocity and how each relates to unit conversions.
5.03 Trigonometric Ratios
In this video, we will define the trigonometric ratios in terms of the sides of a right triangle.
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.
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.
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.
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.
5.08 Inverse Trigonometric Functions and Graphs
In this video, students will explore the relationship between trigonometric functions and their inverses.