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Module 7: Applications of Trigonometry

Apply the Law of Sines, Law of Cosines, triangle area formulas, and get introduced to vectors.

4 Lessons
~4 hours
10 Practice Problems
Module Quiz

Learning Objectives

  • Apply the Law of Sines including the ambiguous case (SSA)
  • Apply the Law of Cosines to solve oblique triangles
  • Calculate triangle area using trig and Heron's formula
  • Define vectors, find magnitude and direction, and perform basic operations

Module Lessons

1

The Law of Sines and the Ambiguous Case

Solve oblique triangles using the Law of Sines; handle the SSA ambiguous case.

2

The Law of Cosines

Solve SAS and SSS triangles using the Law of Cosines.

3

Area of Triangles and Heron's Formula

Find triangle area using A=(1/2)ab sin C and Heron's formula.

4

Introduction to Vectors

Define vectors, find magnitude and direction angle, add and scalar-multiply vectors.

After the Lessons

Begin Module 7 →