May 15, 2015

Trigonometry - Oblique Triangles from MathBitsNotebook.com

A collection of lessons and practice examples with answers:

LESSONS

Area 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 Vectors

PRACTICE:

PRACTICE

Practice with Area of Triangles Using Trigonometry

Practice Law of Sines

Practice with Law of Cosines

Practice with Navigation and Vectors

- Mathematics > General
- Mathematics > Geometry

- Grade 9
- Grade 10

Make sense of problems and persevere in solving them.

Reason abstractly and quantitatively.

Use appropriate tools strategically.

Attend to precision.

Look for and make use of structure.

(+) Prove the Laws of Sines and Cosines and use them to solve problems.

(+) Understand and apply the Law of Sines and the Law of Cosines to find unknown measurements in right and non-right triangles (e.g., surveying problems, resultant forces).