Module 5 – Trigonometry and Trigonometric
Functions
Learning Objectives
In this Module
you will review some basic
geometry and the definitions and uses of
trigonometry in geometric applications.
You will also study the functions that arise from the study of
trigonometry and their applications to the analysis of a
wide variety of periodic phenomena.
After completing
the first part of this Module you should be able to:
- Recognize
applied situations involving basic geometry
- Work with various units for the measurement of
angles
- State the definitions of the
six trigonometric ratios
- Use trigonometric methods to
solve geometric problems involving right angled triangles
- State the ‘Law of Sines’ and ‘Law of Cosines’
and use these to solve
geometric problems involving non-right-angled triangles
After completing the second
part, you should also be able to:
- State the “unit circle” definitions of the trigonometric
functions
- Establish whether given trigonometric equations are or
are
not identities
- Solve conditional equations and inequalities involving
trig
functions
- Sketch the graphs of trigonometric functions and of
others
related to them by simple operations
- Determine possible equations for given graphs
- Find
expressions in terms of trigonometric functions to
model
various kinds of cyclical phenomena, and use the above skills to solve
applied
problems involving such phenomena
Go
To: Part I
Part II