Further trigonometry identities

•Download as PPTX, PDF•

8 likes•5,367 views

This presentation shows how sum and difference of angles formula are derived. It also features doubled-angled formula and other trigonometry formulas.

Education Technology

Further Trigonometry Identities Multiple Angles

Solve the following equations for the angles between 0° and 360° inclusive

Simplifying trigonometryas

Expand it as sum of angles By association taking R positive

where and are positive is acute

Further Trigonometry Identities FACTOR FORMULAE

Express the following as a product of trigonometrical functions:

Prove that

Recommended

Geom 5point5herbison

8 2 Triangle Sum Theorem

8 2 Triangle Sum Theorem

8 2 Triangle Sum Theoremtaco40

Properties of triangles

Properties of triangles

Properties of trianglesDreams4school

Angle PairsFidelfo Moral

8.1 find angle measures in polygons

8.1 find angle measures in polygons

8.1 find angle measures in polygonsdetwilerr

Find angle measures in a polygon

Find angle measures in a polygon

Find angle measures in a polygonJessica Garcia

1.5 Complementary and Supplementary Angles

1.5 Complementary and Supplementary Angles

1.5 Complementary and Supplementary Angles Dee Black

Scalars And Vectors Joshuas Fang Xu Shao Yun

Scalars And Vectors Joshuas Fang Xu Shao Yun

Scalars And Vectors Joshuas Fang Xu Shao Yunyapshinn

Recommended

Geom 5point5herbison

8 2 Triangle Sum Theorem

8 2 Triangle Sum Theorem

8 2 Triangle Sum Theoremtaco40

Properties of triangles

Properties of triangles

Properties of trianglesDreams4school

Angle PairsFidelfo Moral

8.1 find angle measures in polygons

8.1 find angle measures in polygons

8.1 find angle measures in polygonsdetwilerr

Find angle measures in a polygon

Find angle measures in a polygon

Find angle measures in a polygonJessica Garcia

1.5 Complementary and Supplementary Angles

1.5 Complementary and Supplementary Angles

1.5 Complementary and Supplementary Angles Dee Black

Scalars And Vectors Joshuas Fang Xu Shao Yun

Scalars And Vectors Joshuas Fang Xu Shao Yun

Scalars And Vectors Joshuas Fang Xu Shao Yunyapshinn

Triangle measures

Triangle measures

Triangle measuresmrslsarnold

Polygons b.ing math. citra

Polygons b.ing math. citra

Polygons b.ing math. citraCitra Marpaung

Obj. 15 Triangle Angle Relationships

Obj. 15 Triangle Angle Relationships

Obj. 15 Triangle Angle Relationshipssmiller5

2.5.4 Hinge Theorem

2.5.4 Hinge Theorem

2.5.4 Hinge Theoremsmiller5

Triangle Sum Theorem

Triangle Sum Theorem

Triangle Sum Theoremlothomas

1.2.2A Pairs of Angles

1.2.2A Pairs of Angles

1.2.2A Pairs of Anglessmiller5

Geo 3-5 Parallel Lines and Triangles

Geo 3-5 Parallel Lines and Triangles

Geo 3-5 Parallel Lines and Trianglesjtentinger

2.5.1 Triangle Angle Relationships

2.5.1 Triangle Angle Relationships

2.5.1 Triangle Angle Relationshipssmiller5

Trigonometry by mstfdemirdag

Trigonometry by mstfdemirdag

Trigonometry by mstfdemirdagmstf mstf

Ley tangente (02.12.2020)

Ley tangente (02.12.2020)

Ley tangente (02.12.2020)mich_nyleve

M7 lesson 5 1 angles 2

M7 lesson 5 1 angles 2

M7 lesson 5 1 angles 2lothomas

Qwizdom a-level maths - trig equations 1

Qwizdom a-level maths - trig equations 1

Qwizdom a-level maths - trig equations 1Qwizdom UK

Algebra 2 unit 9.2

Algebra 2 unit 9.2

Algebra 2 unit 9.2Mark Ryder

Algebra 2 unit 9.3

Algebra 2 unit 9.3

Algebra 2 unit 9.3Mark Ryder

Aleesha guide to evaluating and converting

Aleesha guide to evaluating and converting

Aleesha guide to evaluating and convertingcoburgmaths

7th Class Mathematics Course Summary - First Term CBSE

7th Class Mathematics Course Summary - First Term CBSE

7th Class Mathematics Course Summary - First Term CBSERashi Jain

Trigonometric functions in standard position slide 1

Trigonometric functions in standard position slide 1

Trigonometric functions in standard position slide 1Jessica Garcia

2.8.1 Properties of Polygons

2.8.1 Properties of Polygons

2.8.1 Properties of Polygonssmiller5

Trigonometric Function Of Any Angle

Trigonometric Function Of Any Angle

Trigonometric Function Of Any AngleYelena Melnichenko

1.2.1A Naming and Measuring Angles

1.2.1A Naming and Measuring Angles

1.2.1A Naming and Measuring Anglessmiller5

Trigonometry - SPA Program

Trigonometry - SPA Program

Trigonometry - SPA ProgramLily Maryati

How statistics used in real world

How statistics used in real world

How statistics used in real worldLily Maryati

More Related Content

What's hot

Triangle measures

Triangle measures

Triangle measuresmrslsarnold

Polygons b.ing math. citra

Polygons b.ing math. citra

Polygons b.ing math. citraCitra Marpaung

Obj. 15 Triangle Angle Relationships

Obj. 15 Triangle Angle Relationships

Obj. 15 Triangle Angle Relationshipssmiller5

2.5.4 Hinge Theorem

2.5.4 Hinge Theorem

2.5.4 Hinge Theoremsmiller5

Triangle Sum Theorem

Triangle Sum Theorem

Triangle Sum Theoremlothomas

1.2.2A Pairs of Angles

1.2.2A Pairs of Angles

1.2.2A Pairs of Anglessmiller5

Geo 3-5 Parallel Lines and Triangles

Geo 3-5 Parallel Lines and Triangles

Geo 3-5 Parallel Lines and Trianglesjtentinger

2.5.1 Triangle Angle Relationships

2.5.1 Triangle Angle Relationships

2.5.1 Triangle Angle Relationshipssmiller5

Trigonometry by mstfdemirdag

Trigonometry by mstfdemirdag

Trigonometry by mstfdemirdagmstf mstf

Ley tangente (02.12.2020)

Ley tangente (02.12.2020)

Ley tangente (02.12.2020)mich_nyleve

M7 lesson 5 1 angles 2

M7 lesson 5 1 angles 2

M7 lesson 5 1 angles 2lothomas

Qwizdom a-level maths - trig equations 1

Qwizdom a-level maths - trig equations 1

Qwizdom a-level maths - trig equations 1Qwizdom UK

Algebra 2 unit 9.2

Algebra 2 unit 9.2

Algebra 2 unit 9.2Mark Ryder

Algebra 2 unit 9.3

Algebra 2 unit 9.3

Algebra 2 unit 9.3Mark Ryder

Aleesha guide to evaluating and converting

Aleesha guide to evaluating and converting

Aleesha guide to evaluating and convertingcoburgmaths

7th Class Mathematics Course Summary - First Term CBSE

7th Class Mathematics Course Summary - First Term CBSE

7th Class Mathematics Course Summary - First Term CBSERashi Jain

Trigonometric functions in standard position slide 1

Trigonometric functions in standard position slide 1

Trigonometric functions in standard position slide 1Jessica Garcia

2.8.1 Properties of Polygons

2.8.1 Properties of Polygons

2.8.1 Properties of Polygonssmiller5

Trigonometric Function Of Any Angle

Trigonometric Function Of Any Angle

Trigonometric Function Of Any AngleYelena Melnichenko

1.2.1A Naming and Measuring Angles

1.2.1A Naming and Measuring Angles

1.2.1A Naming and Measuring Anglessmiller5

What's hot (20)

Triangle measures

Triangle measures

Triangle measures

Polygons b.ing math. citra

Polygons b.ing math. citra

Polygons b.ing math. citra

Obj. 15 Triangle Angle Relationships

Obj. 15 Triangle Angle Relationships

Obj. 15 Triangle Angle Relationships

2.5.4 Hinge Theorem

2.5.4 Hinge Theorem

2.5.4 Hinge Theorem

Triangle Sum Theorem

Triangle Sum Theorem

Triangle Sum Theorem

1.2.2A Pairs of Angles

1.2.2A Pairs of Angles

1.2.2A Pairs of Angles

Geo 3-5 Parallel Lines and Triangles

Geo 3-5 Parallel Lines and Triangles

Geo 3-5 Parallel Lines and Triangles

2.5.1 Triangle Angle Relationships

2.5.1 Triangle Angle Relationships

2.5.1 Triangle Angle Relationships

Trigonometry by mstfdemirdag

Trigonometry by mstfdemirdag

Trigonometry by mstfdemirdag

Ley tangente (02.12.2020)

Ley tangente (02.12.2020)

Ley tangente (02.12.2020)

M7 lesson 5 1 angles 2

M7 lesson 5 1 angles 2

M7 lesson 5 1 angles 2

Qwizdom a-level maths - trig equations 1

Qwizdom a-level maths - trig equations 1

Qwizdom a-level maths - trig equations 1

Algebra 2 unit 9.2

Algebra 2 unit 9.2

Algebra 2 unit 9.2

Algebra 2 unit 9.3

Algebra 2 unit 9.3

Algebra 2 unit 9.3

Aleesha guide to evaluating and converting

Aleesha guide to evaluating and converting

Aleesha guide to evaluating and converting

7th Class Mathematics Course Summary - First Term CBSE

7th Class Mathematics Course Summary - First Term CBSE

7th Class Mathematics Course Summary - First Term CBSE

Trigonometric functions in standard position slide 1

Trigonometric functions in standard position slide 1

Trigonometric functions in standard position slide 1

2.8.1 Properties of Polygons

2.8.1 Properties of Polygons

2.8.1 Properties of Polygons

Trigonometric Function Of Any Angle

Trigonometric Function Of Any Angle

Trigonometric Function Of Any Angle

1.2.1A Naming and Measuring Angles

1.2.1A Naming and Measuring Angles

1.2.1A Naming and Measuring Angles

More from Lily Maryati

Trigonometry - SPA Program

Trigonometry - SPA Program

Trigonometry - SPA ProgramLily Maryati

How statistics used in real world

How statistics used in real world

How statistics used in real worldLily Maryati

Integration of function on non standard form

Integration of function on non standard form

Integration of function on non standard formLily Maryati

$Inequalities quadratic, fractional & irrational form$ $Inequalities quadratic, fractional & irrational form$

Inequalities quadratic, fractional & irrational formLily Maryati

Quadratic Equations

Quadratic Equations

Quadratic EquationsLily Maryati

Application of differentiation

Application of differentiation

Application of differentiationLily Maryati

Relative velocity introduction

Relative velocity introduction

Relative velocity introductionLily Maryati

InequalitiesLily Maryati

Vectors in 2 Dimensions

Vectors in 2 Dimensions

Vectors in 2 DimensionsLily Maryati

2 circular measure arc length

2 circular measure arc length

2 circular measure arc lengthLily Maryati

1 resource radian measure and arc length

1 resource radian measure and arc length

1 resource radian measure and arc lengthLily Maryati

Equation of a Circle

Equation of a Circle

Equation of a CircleLily Maryati

More from Lily Maryati (12)

Trigonometry - SPA Program

Trigonometry - SPA Program

Trigonometry - SPA Program

How statistics used in real world

How statistics used in real world

How statistics used in real world

Integration of function on non standard form

Integration of function on non standard form

Integration of function on non standard form

$Inequalities quadratic, fractional & irrational form$ $Inequalities quadratic, fractional & irrational form$

Inequalities quadratic, fractional & irrational form

Quadratic Equations

Quadratic Equations

Quadratic Equations

Application of differentiation

Application of differentiation

Application of differentiation

Relative velocity introduction

Relative velocity introduction

Relative velocity introduction

Inequalities

Vectors in 2 Dimensions

Vectors in 2 Dimensions

Vectors in 2 Dimensions

2 circular measure arc length

2 circular measure arc length

2 circular measure arc length

1 resource radian measure and arc length

1 resource radian measure and arc length

1 resource radian measure and arc length

Equation of a Circle

Equation of a Circle

Equation of a Circle

Recently uploaded

Earth Day Presentation wow hello nice great

Earth Day Presentation wow hello nice great

Earth Day Presentation wow hello nice greatYousafMalik24

Raw materials used in Herbal Cosmetics.pptx

Raw materials used in Herbal Cosmetics.pptx

Raw materials used in Herbal Cosmetics.pptxAshokrao Mane college of Pharmacy Peth-Vadgaon

HỌC TỐT TIẾNG ANH 11 THEO CHƯƠNG TRÌNH GLOBAL SUCCESS ĐÁP ÁN CHI TIẾT - CẢ NĂ...

HỌC TỐT TIẾNG ANH 11 THEO CHƯƠNG TRÌNH GLOBAL SUCCESS ĐÁP ÁN CHI TIẾT - CẢ NĂ...

HỌC TỐT TIẾNG ANH 11 THEO CHƯƠNG TRÌNH GLOBAL SUCCESS ĐÁP ÁN CHI TIẾT - CẢ NĂ...Nguyen Thanh Tu Collection

Activity 2-unit 2-update 2024. English translation

Activity 2-unit 2-update 2024. English translation

Activity 2-unit 2-update 2024. English translationRosabel UA

Difference Between Search & Browse Methods in Odoo 17

Difference Between Search & Browse Methods in Odoo 17

Difference Between Search & Browse Methods in Odoo 17Celine George

Daily Lesson Plan in Mathematics Quarter 4

Daily Lesson Plan in Mathematics Quarter 4

Daily Lesson Plan in Mathematics Quarter 4JOYLYNSAMANIEGO

THEORIES OF ORGANIZATION-PUBLIC ADMINISTRATION

THEORIES OF ORGANIZATION-PUBLIC ADMINISTRATION

THEORIES OF ORGANIZATION-PUBLIC ADMINISTRATIONHumphrey A Beña

Virtual-Orientation-on-the-Administration-of-NATG12-NATG6-and-ELLNA.pdf

Virtual-Orientation-on-the-Administration-of-NATG12-NATG6-and-ELLNA.pdf

Virtual-Orientation-on-the-Administration-of-NATG12-NATG6-and-ELLNA.pdfErwinPantujan2

Influencing policy (training slides from Fast Track Impact)

Influencing policy (training slides from Fast Track Impact)

Influencing policy (training slides from Fast Track Impact)Mark Reed

4.18.24 Movement Legacies, Reflection, and Review.pptx

4.18.24 Movement Legacies, Reflection, and Review.pptx

4.18.24 Movement Legacies, Reflection, and Review.pptxmary850239

Global Lehigh Strategic Initiatives (without descriptions)

Global Lehigh Strategic Initiatives (without descriptions)

Global Lehigh Strategic Initiatives (without descriptions)cama23

YOUVE_GOT_EMAIL_PRELIMS_EL_DORADO_2024.pptx

YOUVE_GOT_EMAIL_PRELIMS_EL_DORADO_2024.pptx

YOUVE_GOT_EMAIL_PRELIMS_EL_DORADO_2024.pptxConquiztadors- the Quiz Society of Sri Venkateswara College

GRADE 4 - SUMMATIVE TEST QUARTER 4 ALL SUBJECTS

GRADE 4 - SUMMATIVE TEST QUARTER 4 ALL SUBJECTS

GRADE 4 - SUMMATIVE TEST QUARTER 4 ALL SUBJECTSJoshuaGantuangco2

Barangay Council for the Protection of Children (BCPC) Orientation.pptx

Barangay Council for the Protection of Children (BCPC) Orientation.pptx

Barangay Council for the Protection of Children (BCPC) Orientation.pptxCarlos105

Active Learning Strategies (in short ALS).pdf

Active Learning Strategies (in short ALS).pdf

Active Learning Strategies (in short ALS).pdfPatidar M

MULTIDISCIPLINRY NATURE OF THE ENVIRONMENTAL STUDIES.pptx

MULTIDISCIPLINRY NATURE OF THE ENVIRONMENTAL STUDIES.pptx

MULTIDISCIPLINRY NATURE OF THE ENVIRONMENTAL STUDIES.pptxAnupkumar Sharma

Food processing presentation for bsc agriculture hons

Food processing presentation for bsc agriculture hons

Food processing presentation for bsc agriculture honsManeerUddin

Grade 9 Quarter 4 Dll Grade 9 Quarter 4 DLL.pdf

Grade 9 Quarter 4 Dll Grade 9 Quarter 4 DLL.pdf

Grade 9 Quarter 4 Dll Grade 9 Quarter 4 DLL.pdfJemuel Francisco

Q4-PPT-Music9_Lesson-1-Romantic-Opera.pptx

Q4-PPT-Music9_Lesson-1-Romantic-Opera.pptx

Q4-PPT-Music9_Lesson-1-Romantic-Opera.pptxlancelewisportillo

ANG SEKTOR NG agrikultura.pptx QUARTER 4

ANG SEKTOR NG agrikultura.pptx QUARTER 4

ANG SEKTOR NG agrikultura.pptx QUARTER 4MiaBumagat1

Recently uploaded (20)

Earth Day Presentation wow hello nice great

Earth Day Presentation wow hello nice great

Earth Day Presentation wow hello nice great

Raw materials used in Herbal Cosmetics.pptx

Raw materials used in Herbal Cosmetics.pptx

Raw materials used in Herbal Cosmetics.pptx

HỌC TỐT TIẾNG ANH 11 THEO CHƯƠNG TRÌNH GLOBAL SUCCESS ĐÁP ÁN CHI TIẾT - CẢ NĂ...

HỌC TỐT TIẾNG ANH 11 THEO CHƯƠNG TRÌNH GLOBAL SUCCESS ĐÁP ÁN CHI TIẾT - CẢ NĂ...

HỌC TỐT TIẾNG ANH 11 THEO CHƯƠNG TRÌNH GLOBAL SUCCESS ĐÁP ÁN CHI TIẾT - CẢ NĂ...

Activity 2-unit 2-update 2024. English translation

Activity 2-unit 2-update 2024. English translation

Activity 2-unit 2-update 2024. English translation

Difference Between Search & Browse Methods in Odoo 17

Difference Between Search & Browse Methods in Odoo 17

Difference Between Search & Browse Methods in Odoo 17

Daily Lesson Plan in Mathematics Quarter 4

Daily Lesson Plan in Mathematics Quarter 4

Daily Lesson Plan in Mathematics Quarter 4

THEORIES OF ORGANIZATION-PUBLIC ADMINISTRATION

THEORIES OF ORGANIZATION-PUBLIC ADMINISTRATION

THEORIES OF ORGANIZATION-PUBLIC ADMINISTRATION

Virtual-Orientation-on-the-Administration-of-NATG12-NATG6-and-ELLNA.pdf

Virtual-Orientation-on-the-Administration-of-NATG12-NATG6-and-ELLNA.pdf

Virtual-Orientation-on-the-Administration-of-NATG12-NATG6-and-ELLNA.pdf

Influencing policy (training slides from Fast Track Impact)

Influencing policy (training slides from Fast Track Impact)

Influencing policy (training slides from Fast Track Impact)

4.18.24 Movement Legacies, Reflection, and Review.pptx

4.18.24 Movement Legacies, Reflection, and Review.pptx

4.18.24 Movement Legacies, Reflection, and Review.pptx

Global Lehigh Strategic Initiatives (without descriptions)

Global Lehigh Strategic Initiatives (without descriptions)

Global Lehigh Strategic Initiatives (without descriptions)

YOUVE_GOT_EMAIL_PRELIMS_EL_DORADO_2024.pptx

YOUVE_GOT_EMAIL_PRELIMS_EL_DORADO_2024.pptx

YOUVE_GOT_EMAIL_PRELIMS_EL_DORADO_2024.pptx

GRADE 4 - SUMMATIVE TEST QUARTER 4 ALL SUBJECTS

GRADE 4 - SUMMATIVE TEST QUARTER 4 ALL SUBJECTS

GRADE 4 - SUMMATIVE TEST QUARTER 4 ALL SUBJECTS

Barangay Council for the Protection of Children (BCPC) Orientation.pptx

Barangay Council for the Protection of Children (BCPC) Orientation.pptx

Barangay Council for the Protection of Children (BCPC) Orientation.pptx

Active Learning Strategies (in short ALS).pdf

Active Learning Strategies (in short ALS).pdf

Active Learning Strategies (in short ALS).pdf

MULTIDISCIPLINRY NATURE OF THE ENVIRONMENTAL STUDIES.pptx

MULTIDISCIPLINRY NATURE OF THE ENVIRONMENTAL STUDIES.pptx

MULTIDISCIPLINRY NATURE OF THE ENVIRONMENTAL STUDIES.pptx

Food processing presentation for bsc agriculture hons

Food processing presentation for bsc agriculture hons

Food processing presentation for bsc agriculture hons

Grade 9 Quarter 4 Dll Grade 9 Quarter 4 DLL.pdf

Grade 9 Quarter 4 Dll Grade 9 Quarter 4 DLL.pdf

Grade 9 Quarter 4 Dll Grade 9 Quarter 4 DLL.pdf

Q4-PPT-Music9_Lesson-1-Romantic-Opera.pptx

Q4-PPT-Music9_Lesson-1-Romantic-Opera.pptx

Q4-PPT-Music9_Lesson-1-Romantic-Opera.pptx

ANG SEKTOR NG agrikultura.pptx QUARTER 4

ANG SEKTOR NG agrikultura.pptx QUARTER 4

ANG SEKTOR NG agrikultura.pptx QUARTER 4

Further trigonometry identities

1. Further Trigonometry Identities Multiple Angles

2.

3.

4.

5.

6.

7.

8.

9. Solve the following equations for the angles between 0° and 360° inclusive

10. Simplifying trigonometryas

11. Expand it as sum of angles By association taking R positive

12. where and are positive is acute

13.

14. Further Trigonometry Identities FACTOR FORMULAE

15.

16.

17.

18.

19.

20. Express the following as a product of trigonometrical functions: