3.4 Trigonometry 4

Lecture Outline

Preview activity: 3.4 Trigonometry 4

Preview activity 3.4. Solution

Introduction

Using addition formulae

Your turn!

Solution

Example 2

Solution

Double angle formulae

Using double angle formulae to prove identities

Half-angle formulas

Half-angle formulas

Example 7

Using R-formulae to solve equations

Example 10

Prove sin⁡〖u cos⁡v =1/2[sin⁡(u+v)+sin⁡〖(u -v)〗] 〗

Sum-to-Product formulas

Prove sin x+sin y=2sin (x+y)/2 cos (x -y)/2

Example 11

Example 11. Solution

Learning outcomes

Preview activity: 3.5 Trigonometry 5

3.4 Trigonometry 4

Lecture Outline

Preview activity: 3.4 Trigonometry 4

Preview activity 3.4. Solution

Introduction

Using addition formulae

Your turn!

Solution

Example 2

Solution

Double angle formulae

Using double angle formulae to prove identities

Half-angle formulas

Half-angle formulas

Example 7

Using R-formulae to solve equations

Example 10

Prove sin⁡〖u cos⁡v =1/2[sin⁡(u+v)+sin⁡〖(u -v)〗] 〗

Sum-to-Product formulas

Prove sin x+sin y=2sin (x+y)/2 cos (x -y)/2

Example 11

Example 11. Solution

Learning outcomes

Preview activity: 3.5 Trigonometry 5

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1. 3.4 Trigonometry 4

Foundation Year Program
NUFYP Mathematics
3.4 Trigonometry 4
Adina Amanbekkyzy
2019-2020

2. Lecture Outline

Foundation Year Program
Lecture Outline
The addition and subtraction
formulas sin

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