Created on: April 29, 2015

Website Address: https://library.curriki.org/oer/Student-Resources-89484

TABLE OF CONTENTS

- Proof: Law of Sines
- Law of Cosines
- Law of cosines
- Proving Law of Sines and Cosines
- Oblique Triangles Law of Sines
- Ambiguous Case for Law of Sines
- Law of Cosines
- Law of cosines
- Applications of Law of Sines and Cosines
- Law of Sines - Application/Word Problem, Ex 1
- Law of Sines - Application / Word Problem, Ex 2
- Law of Sines - Application/Word Problem, Ex 3
- Law of Cosines, Example 1
- Law of Cosines, Example 2
- The Law of Cosines, Example 3
- Law of Cosines, Example 4
- Law of Cosines, Example 5
- Law of Cosines, Example 6
- Trigonometry - Oblique Triangles

Student Resources

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

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

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

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

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

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

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

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

Four examples to help you understand how to solve some of your word problems that require Law of Sine and/or Cosine.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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