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

Category: $mathematics$ mathematics

Similar presentations:

Trigonometry 4. Lecture Outline

Trigonometry 4. Lecture Outline

3.5 Trigonometry 5

3.5 Trigonometry 5

Graph transformation 1

Graph transformation 1

Foundation Year Program NUFYP Mathematics

Foundation Year Program NUFYP Mathematics

Basic transformations of graphs

Basic transformations of graphs

4.2 Introduction to Limits

4.2 Introduction to Limits

4.4 Binomial expansions

4.4 Binomial expansions

Exponentials and logarithms. Lecture 2.1

Exponentials and logarithms. Lecture 2.1

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

English Русский Rules