Trigonometry 2

Preview activity: Trigonometry 2

Preview activity: Trigonometry 2 solution.

Trigonometry 2

Introduction

Introduction

Introduction

3.2.1 Graphs of sin t

The Amplitude of sin(x)

Period of sin(x)

Your turn sketch any 3 different amplitudes for Cos (x)

Your turn

Functions sec, cosec, cot

Example 3

3.2.1 Graphs of sec, cosec, cot

Graph of cosec(x)

Graph of sec(x)

Graph of cot(x)

3.2.2 Transformations of graphs

Solution (continued)

Example 7 (vertical translation)

Solution

Your turn! (vertical translation)

Solution

Example 8 (horizontal translation)

Solution

Example 9 (vertical and horizontal stretches)

Solution

Your turn! (horizontal stretch)

Example 10 (reflection in the y-axis)

Your turn!

Solution

3.2.3 The fundamental trig identities

3.2.3 The fundamental trig identities

Simplifying trig expressions

$Simplifying by combining fractions$

Proving identities

Learning outcomes

Preview activity: Inverse of trig functions

Trigonometry 2

Preview activity: Trigonometry 2

Preview activity: Trigonometry 2 solution.

Trigonometry 2

Introduction

Introduction

Introduction

3.2.1 Graphs of sin t

The Amplitude of sin(x)

Period of sin(x)

Your turn sketch any 3 different amplitudes for Cos (x)

Your turn

Functions sec, cosec, cot

Example 3

3.2.1 Graphs of sec, cosec, cot

Graph of cosec(x)

Graph of sec(x)

Graph of cot(x)

3.2.2 Transformations of graphs

Solution (continued)

Example 7 (vertical translation)

Solution

Your turn! (vertical translation)

Solution

Example 8 (horizontal translation)

Solution

Example 9 (vertical and horizontal stretches)

Solution

Your turn! (horizontal stretch)

Example 10 (reflection in the y-axis)

Your turn!

Solution

3.2.3 The fundamental trig identities

3.2.3 The fundamental trig identities

Simplifying trig expressions

$Simplifying by combining fractions$ Proving identities

Proving identities

Learning outcomes

Preview activity: Inverse of trig functions

1.61M

Категория: $Математика$ Математика

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Trigonometry 2

1. Trigonometry 2

Foundation Year Program
NUFYP Mathematics
Trigonometry 2
Rida El-Mehdawe
2019-2020

2. Preview activity: Trigonometry 2

Foundation Year Program
Preview activity: Trigonometry 2
Sketch

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