Student Resources

## Collection Contents

### Proof: Law of Sines

by Allen Wolmer

A simple proof of the Law of SinesA Youtube video from Khan Academy
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### Law of Cosines

by Allen Wolmer

Introduce and do examples of solving oblique triangles using the law of cosine.A Youtube video from ProfRobBob. Note: There may be a short ad at the beginning
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### Law of cosines

by Allen Wolmer

Introduction to the law of cosines to solve for a side of a triangle when 2 sides and an angle are known.A Youtube video from Khan Academy
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### Proving Law of Sines and Cosines

by Allen Wolmer

Step by step proof of both the Law of Sines and Law of Cosines for general triangles.A Youtube video from Patrick Dugas
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### Oblique Triangles Law of Sines

by Allen Wolmer

Introduce the Law of Sine and go over a couple of examples where there is one unique triangle. Finish with an example of finding area of an oblique triangle.A Youtube video from ProfRobBob. Note: There may be a short ad at the beginning
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### Ambiguous Case for Law of Sines

by Allen Wolmer

Introduce solving oblique triangles when the information given is in the SSA form...or the ambiguous case. In this setting there may be one solution, two solutions, or none at all.A Youtube video from ProfRobBob. Note: There may be a short ad at the beginning
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### Law of Cosines

by Allen Wolmer

Introduce and do examples of solving oblique triangles using the law of cosine.A Youtube video from ProfRobBob. Note: There may be a short ad at the beginning
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### Law of cosines

by Allen Wolmer

Introduction to the law of cosines to solve for a side of a triangle when 2 sides and an angle are known.A Youtube video from Khan Academy
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### Applications of Law of Sines and Cosines

by Allen Wolmer

Four examples to help you understand how to solve some of your word problems that require Law of Sine and/or Cosine.
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### Law of Sines - Application/Word Problem, Ex 1

by Allen Wolmer

Law of Sines - Application/Word Problem, Ex 1. In this Youtube video from patrickJMT, do a word/application problem that involves using the law of sines.There may be a short as at the beginning.
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### Law of Sines - Application / Word Problem, Ex 2

by Allen Wolmer

Law of Sines - Application/Word Problem, Ex 2. Another word/application problem that involves using the Law of SInes.Note: There may be a short ad at the beginning.
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### Law of Sines - Application/Word Problem, Ex 3

by Allen Wolmer

Law of Sines - Application/Word Problem, Ex 3. Another word/application problem that involves using the Law of Sines.Note: There may be a short ad at the beginning.
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### Law of Cosines, Example 1

by Allen Wolmer

The Law of Cosines, Example 1. In this Youtube video from patrickJMT, give the formula for the Law of Cosines and use it to find the missing side length of a triangle.
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### Law of Cosines, Example 2

by Allen Wolmer

The Law of Cosines, Example 2. In this Youtube video from patrickJMT, give the formula for the Law of Cosines and use it to find the missing side length of a triangle.Note: There may be a short ad at the beginning.
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### The Law of Cosines, Example 3

by Allen Wolmer

The Law of Cosines, Example 3. In this Youtube video from patrickJMT, give the formula for the Law of Cosines and use it to find the value of a missing angle.Note: There may be a short ad at the beginning.
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### Law of Cosines, Example 4

by Allen Wolmer

The Law of Cosines, Example 4. In this Youtube video from patrickJMT, use the law of cosines to help deduce an angle between the flightpath of two planes!Note: There may be a short ad at the beginning.
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### Law of Cosines, Example 5

by Allen Wolmer

Law of Cosines, Example 5. A Youtube video from patrickJMT, giving another example of finding the missing length of a triangle using the Law of Cosines.
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### Law of Cosines, Example 6

by Allen Wolmer

Law of Cosines, Example 6. In this Youtube video from patrickJMT, find how far a person is from a house by knowing that person's distance to someone else and the angle formed between them and the house.
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### Trigonometry - Oblique Triangles

by Allen Wolmer

Trigonometry - Oblique Triangles from MathBitsNotebook.comA collection of lessons and practice examples with answers:LESSONSArea of Triangle (formulas, derive formula, sine of an obtuse angle)Law of Sines (oblique, ASA, AAS, examples, deriving the formula)Law of Sines - Ambiguous Case (SSA, examples, summary, what to look for)Law of Cosines (SAS, SSS, facts to remember, deriving the formula, examples)Law of Cosines - Ambiguous Case (SSA, quadratic formula, examples, summary)Applications with Navigation and VectorsPRACTICE:PRACTICEPractice with Area of Triangles Using TrigonometryPractice Law of SinesPractice with Law of CosinesPractice with Navigation and Vectors
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