3.5 Trigonometry 5
Lecture Outline
Introduction
The Law of Sines
Proof: The Law of Sines
Your turn!
Example 2
The Law of Cosines
Proof: The Law of Cosines
Your turn!
Solution
Solution
Your turn!
Solution
Harmonic motion
Simple harmonic motion
Solution
Your turn!
Solution
Example 6
Solution
Solution(continued)
Solution(continued)
Solution
Damped harmonic motion
Simple harmonic vs. damped harmonic motion
Example 7
Solution
Solution(continued)
Example 8
Solution
Learning outcomes
Formulae
3.25M
Category: mathematicsmathematics

3.5 Trigonometry 5

1. 3.5 Trigonometry 5

Foundation Year Program
NUFYP Mathematics
3.5 Trigonometry 5
Joohee Hong
2019-2020

2. Lecture Outline

Foundation Year Program
Lecture Outline
• The Law of Sines
• The Law of Cosines
• Harmonic motion
2019-2020

3. Introduction

Foundation Year Program
Introduction
Triangles are everywhere, and we often
need to find unknown angles or the side
lengths. The Law of Sines and the Law of
Cosines allow us to find those unknown
quantities.
2019-2020

4. The Law of Sines

Foundation Year Program
The Law of Sines
• The Law of Sines says that in any triangle
the lengths of the sides are proportional to
the sines of the corresponding opposite
angles. That is,
sin
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