際際滷

際際滷Share a Scribd company logo
trigno.pptx
trigno.pptx
 Trigonometry (fromGreek trignon,
"triangle" and metron, "measure") is a branch
of mathematics that studies relationships
involving lengths and angles of triangles.The
field emerged during the 3rd century BC from
applications of geometry to astronomical
studies.
trigno.pptx
trigno.pptx
trigno.pptx
 Basic identities:-
trigno.pptx
Q) tan x sin x + cos x = sec x
Solution:We will only use the fact that sin族 x +
cos族 x = 1 for all values of x.
LHS = tan x sin x + cos x
=>sin x/cos x. sin x +cosx
= >sin族 x/ cos x + cos x
=>sin族 x/ cos x + cos族x /cosx
=> sin族 x + cos族 x/ cos x
= >1/ cos x = RHS
trigno.pptx
Q) Cos族 20+cos族 70/sin族 31+sin族 59+sin族
64+cos64.sin26
Solution:- cos族 20+sin族 (90-70)/sin族 31+sin族 (90-
59)+sin族 64+cos64.cos64
=> 1+sin族 64+cos族 64
=>1+1
=>2
A PPLICATIONS OF
TRIGONOMETRY
 We observe generally that children usually
look up to see an airplane when it passes
overhead.This line joining their eye to the
plane while looking up is called LINE OF
SIGHT.
 The angle which the line of sight makes with a
horizontal line drawn away from their eyes is
called the ANGLE OF ELEVATION of airplane
from them.
 If the pilot of the airplane looks downward at
any object on the ground then the angle
between his line of sight and horizontal line
drawn away from his eyes is called ANGLE OF
DEPRESSION.
trigno.pptx
trigno.pptx

More Related Content

Similar to trigno.pptx (20)

PPT on Trigonometric Functions. Class 11
PPT on Trigonometric Functions. Class 11PPT on Trigonometric Functions. Class 11
PPT on Trigonometric Functions. Class 11
Rushikesh Reddy
Pythagorean theorem
Pythagorean theoremPythagorean theorem
Pythagorean theorem
AndreGoins
Trigonometry
TrigonometryTrigonometry
Trigonometry
Vijay Balaji
Paso 3: lgebra, Trigonometr鱈a y Geometr鱈a Anal鱈tica
Paso 3: lgebra, Trigonometr鱈a y Geometr鱈a Anal鱈ticaPaso 3: lgebra, Trigonometr鱈a y Geometr鱈a Anal鱈tica
Paso 3: lgebra, Trigonometr鱈a y Geometr鱈a Anal鱈tica
Trigogeogebraunad
Mathematics ppt on trigonometry
Mathematics ppt on trigonometryMathematics ppt on trigonometry
Mathematics ppt on trigonometry
niks957
mathematrsion-gate02.pdf
mathematrsion-gate02.pdfmathematrsion-gate02.pdf
mathematrsion-gate02.pdf
NeeleshRaina
TRIGONOMETRY
TRIGONOMETRYTRIGONOMETRY
TRIGONOMETRY
shahzadebaujiti
Introduction to trigonometry
Introduction to trigonometryIntroduction to trigonometry
Introduction to trigonometry
Amal Sanjay
Trigonometry part 1 and 2
Trigonometry part 1 and 2Trigonometry part 1 and 2
Trigonometry part 1 and 2
swathiLakshmi17
Right triangle trigonometry
Right triangle trigonometryRight triangle trigonometry
Right triangle trigonometry
Ramesh Kumar
Trigonometry
TrigonometryTrigonometry
Trigonometry
SharingIsCaring1000
persamaan trigonometri A COS X + B SIN X
persamaan trigonometri A COS X + B SIN Xpersamaan trigonometri A COS X + B SIN X
persamaan trigonometri A COS X + B SIN X
ayyurah2004
1.trigonometry Further Mathematics Zimbabwe Zimsec Cambridge
1.trigonometry Further Mathematics Zimbabwe Zimsec Cambridge1.trigonometry Further Mathematics Zimbabwe Zimsec Cambridge
1.trigonometry Further Mathematics Zimbabwe Zimsec Cambridge
alproelearning
Obj. 43 Laws of Sines and Cosines
Obj. 43 Laws of Sines and CosinesObj. 43 Laws of Sines and Cosines
Obj. 43 Laws of Sines and Cosines
smiller5
Trignometry
TrignometryTrignometry
Trignometry
A.I.K.C. COLLEGE OF EDUCATION
Funciones Trigonom辿tricas
Funciones Trigonom辿tricasFunciones Trigonom辿tricas
Funciones Trigonom辿tricas
rogerstevedominguezm
Trigonometry
Trigonometry Trigonometry
Trigonometry
Abdul Basit
Trigonometric Functions
Trigonometric FunctionsTrigonometric Functions
Trigonometric Functions
RawanAbdelnasser2
Trigonometry 1
Trigonometry 1Trigonometry 1
Trigonometry 1
Shenaz kheriwala
Trigonometry
TrigonometryTrigonometry
Trigonometry
Shashwat Mishra
PPT on Trigonometric Functions. Class 11
PPT on Trigonometric Functions. Class 11PPT on Trigonometric Functions. Class 11
PPT on Trigonometric Functions. Class 11
Rushikesh Reddy
Pythagorean theorem
Pythagorean theoremPythagorean theorem
Pythagorean theorem
AndreGoins
Paso 3: lgebra, Trigonometr鱈a y Geometr鱈a Anal鱈tica
Paso 3: lgebra, Trigonometr鱈a y Geometr鱈a Anal鱈ticaPaso 3: lgebra, Trigonometr鱈a y Geometr鱈a Anal鱈tica
Paso 3: lgebra, Trigonometr鱈a y Geometr鱈a Anal鱈tica
Trigogeogebraunad
Mathematics ppt on trigonometry
Mathematics ppt on trigonometryMathematics ppt on trigonometry
Mathematics ppt on trigonometry
niks957
mathematrsion-gate02.pdf
mathematrsion-gate02.pdfmathematrsion-gate02.pdf
mathematrsion-gate02.pdf
NeeleshRaina
Introduction to trigonometry
Introduction to trigonometryIntroduction to trigonometry
Introduction to trigonometry
Amal Sanjay
Trigonometry part 1 and 2
Trigonometry part 1 and 2Trigonometry part 1 and 2
Trigonometry part 1 and 2
swathiLakshmi17
Right triangle trigonometry
Right triangle trigonometryRight triangle trigonometry
Right triangle trigonometry
Ramesh Kumar
persamaan trigonometri A COS X + B SIN X
persamaan trigonometri A COS X + B SIN Xpersamaan trigonometri A COS X + B SIN X
persamaan trigonometri A COS X + B SIN X
ayyurah2004
1.trigonometry Further Mathematics Zimbabwe Zimsec Cambridge
1.trigonometry Further Mathematics Zimbabwe Zimsec Cambridge1.trigonometry Further Mathematics Zimbabwe Zimsec Cambridge
1.trigonometry Further Mathematics Zimbabwe Zimsec Cambridge
alproelearning
Obj. 43 Laws of Sines and Cosines
Obj. 43 Laws of Sines and CosinesObj. 43 Laws of Sines and Cosines
Obj. 43 Laws of Sines and Cosines
smiller5
Trigonometry
Trigonometry Trigonometry
Trigonometry
Abdul Basit

More from abhichowdary16 (7)

7-Backups of security Devices-03-06-2023.ppt
7-Backups of security Devices-03-06-2023.ppt7-Backups of security Devices-03-06-2023.ppt
7-Backups of security Devices-03-06-2023.ppt
abhichowdary16
17-MOD 6 Conducting Security Audits & MOD 7 Information Security Audit Prepar...
17-MOD 6 Conducting Security Audits & MOD 7 Information Security Audit Prepar...17-MOD 6 Conducting Security Audits & MOD 7 Information Security Audit Prepar...
17-MOD 6 Conducting Security Audits & MOD 7 Information Security Audit Prepar...
abhichowdary16
20-MOD 8 Self and Work Management-20-07-2023.ppt
20-MOD 8 Self and Work Management-20-07-2023.ppt20-MOD 8 Self and Work Management-20-07-2023.ppt
20-MOD 8 Self and Work Management-20-07-2023.ppt
abhichowdary16
Class IX Maths Construction Module 1 .pptx
Class IX Maths Construction Module 1 .pptxClass IX Maths Construction Module 1 .pptx
Class IX Maths Construction Module 1 .pptx
abhichowdary16
mathsproject-
mathsproject-mathsproject-
mathsproject-
abhichowdary16
triangles ppt.pptx
triangles ppt.pptxtriangles ppt.pptx
triangles ppt.pptx
abhichowdary16
11-Incident Response, Risk Management Sample Question and Answer-24-06-2023.ppt
11-Incident Response, Risk Management Sample Question and Answer-24-06-2023.ppt11-Incident Response, Risk Management Sample Question and Answer-24-06-2023.ppt
11-Incident Response, Risk Management Sample Question and Answer-24-06-2023.ppt
abhichowdary16
7-Backups of security Devices-03-06-2023.ppt
7-Backups of security Devices-03-06-2023.ppt7-Backups of security Devices-03-06-2023.ppt
7-Backups of security Devices-03-06-2023.ppt
abhichowdary16
17-MOD 6 Conducting Security Audits & MOD 7 Information Security Audit Prepar...
17-MOD 6 Conducting Security Audits & MOD 7 Information Security Audit Prepar...17-MOD 6 Conducting Security Audits & MOD 7 Information Security Audit Prepar...
17-MOD 6 Conducting Security Audits & MOD 7 Information Security Audit Prepar...
abhichowdary16
20-MOD 8 Self and Work Management-20-07-2023.ppt
20-MOD 8 Self and Work Management-20-07-2023.ppt20-MOD 8 Self and Work Management-20-07-2023.ppt
20-MOD 8 Self and Work Management-20-07-2023.ppt
abhichowdary16
Class IX Maths Construction Module 1 .pptx
Class IX Maths Construction Module 1 .pptxClass IX Maths Construction Module 1 .pptx
Class IX Maths Construction Module 1 .pptx
abhichowdary16
11-Incident Response, Risk Management Sample Question and Answer-24-06-2023.ppt
11-Incident Response, Risk Management Sample Question and Answer-24-06-2023.ppt11-Incident Response, Risk Management Sample Question and Answer-24-06-2023.ppt
11-Incident Response, Risk Management Sample Question and Answer-24-06-2023.ppt
abhichowdary16

Recently uploaded (20)

Kaun TALHA quiz Finals -- El Dorado 2025
Kaun TALHA quiz Finals -- El Dorado 2025Kaun TALHA quiz Finals -- El Dorado 2025
Kaun TALHA quiz Finals -- El Dorado 2025
Conquiztadors- the Quiz Society of Sri Venkateswara College
A PPT on the First Three chapters of Wings of Fire
A PPT on the First Three chapters of Wings of FireA PPT on the First Three chapters of Wings of Fire
A PPT on the First Three chapters of Wings of Fire
Beena E S
CRITICAL THINKING AND NURSING JUDGEMENT.pptx
CRITICAL THINKING AND NURSING JUDGEMENT.pptxCRITICAL THINKING AND NURSING JUDGEMENT.pptx
CRITICAL THINKING AND NURSING JUDGEMENT.pptx
PoojaSen20
N.C. DPI's 2023 Language Diversity Briefing
N.C. DPI's 2023 Language Diversity BriefingN.C. DPI's 2023 Language Diversity Briefing
N.C. DPI's 2023 Language Diversity Briefing
Mebane Rash
How to Configure Restaurants in Odoo 17 Point of Sale
How to Configure Restaurants in Odoo 17 Point of SaleHow to Configure Restaurants in Odoo 17 Point of Sale
How to Configure Restaurants in Odoo 17 Point of Sale
Celine George
TPR Data strategy 2025 (1).pdf Data strategy
TPR Data strategy 2025 (1).pdf Data strategyTPR Data strategy 2025 (1).pdf Data strategy
TPR Data strategy 2025 (1).pdf Data strategy
Henry Tapper
Fuel part 1.pptx........................
Fuel part 1.pptx........................Fuel part 1.pptx........................
Fuel part 1.pptx........................
ksbhattadcm
The basics of sentences session 6pptx.pptx
The basics of sentences session 6pptx.pptxThe basics of sentences session 6pptx.pptx
The basics of sentences session 6pptx.pptx
heathfieldcps1
Storytelling instructions...............
Storytelling instructions...............Storytelling instructions...............
Storytelling instructions...............
Alexander Benito
Blind spots in AI and Formulation Science, IFPAC 2025.pdf
Blind spots in AI and Formulation Science, IFPAC 2025.pdfBlind spots in AI and Formulation Science, IFPAC 2025.pdf
Blind spots in AI and Formulation Science, IFPAC 2025.pdf
Ajaz Hussain
Modeling-Simple-Equation-Using-Bar-Models.pptx
Modeling-Simple-Equation-Using-Bar-Models.pptxModeling-Simple-Equation-Using-Bar-Models.pptx
Modeling-Simple-Equation-Using-Bar-Models.pptx
maribethlacno2
FESTIVAL: SINULOG & THINGYAN-LESSON 4.pptx
FESTIVAL: SINULOG & THINGYAN-LESSON 4.pptxFESTIVAL: SINULOG & THINGYAN-LESSON 4.pptx
FESTIVAL: SINULOG & THINGYAN-LESSON 4.pptx
DanmarieMuli1
Computer Application in Business (commerce)
Computer Application in Business (commerce)Computer Application in Business (commerce)
Computer Application in Business (commerce)
Sudar Sudar
Mate, a short story by Kate Grenvile.pptx
Mate, a short story by Kate Grenvile.pptxMate, a short story by Kate Grenvile.pptx
Mate, a short story by Kate Grenvile.pptx
Liny Jenifer
DUBLIN PROGRAM DUBLIN PROGRAM DUBLIN PROGRAM
DUBLIN PROGRAM DUBLIN PROGRAM DUBLIN PROGRAMDUBLIN PROGRAM DUBLIN PROGRAM DUBLIN PROGRAM
DUBLIN PROGRAM DUBLIN PROGRAM DUBLIN PROGRAM
vlckovar
APM People Interest Network Conference - Tim Lyons - The neurological levels ...
APM People Interest Network Conference - Tim Lyons - The neurological levels ...APM People Interest Network Conference - Tim Lyons - The neurological levels ...
APM People Interest Network Conference - Tim Lyons - The neurological levels ...
Association for Project Management
Chapter 3. Social Responsibility and Ethics in Strategic Management.pptx
Chapter 3. Social Responsibility and Ethics in Strategic Management.pptxChapter 3. Social Responsibility and Ethics in Strategic Management.pptx
Chapter 3. Social Responsibility and Ethics in Strategic Management.pptx
Rommel Regala
Lesson Plan M1 2024 Lesson Plan M1 2024 Lesson Plan M1 2024 Lesson Plan M1...
Lesson Plan M1 2024  Lesson Plan M1 2024  Lesson Plan M1 2024  Lesson Plan M1...Lesson Plan M1 2024  Lesson Plan M1 2024  Lesson Plan M1 2024  Lesson Plan M1...
Lesson Plan M1 2024 Lesson Plan M1 2024 Lesson Plan M1 2024 Lesson Plan M1...
pinkdvil200
The Constitution, Government and Law making bodies .
The Constitution, Government and Law making bodies .The Constitution, Government and Law making bodies .
The Constitution, Government and Law making bodies .
saanidhyapatel09
Eng7-Q4-Lesson 1 Part 1 Understanding Discipline-Specific Words, Voice, and T...
Eng7-Q4-Lesson 1 Part 1 Understanding Discipline-Specific Words, Voice, and T...Eng7-Q4-Lesson 1 Part 1 Understanding Discipline-Specific Words, Voice, and T...
Eng7-Q4-Lesson 1 Part 1 Understanding Discipline-Specific Words, Voice, and T...
sandynavergas1
A PPT on the First Three chapters of Wings of Fire
A PPT on the First Three chapters of Wings of FireA PPT on the First Three chapters of Wings of Fire
A PPT on the First Three chapters of Wings of Fire
Beena E S
CRITICAL THINKING AND NURSING JUDGEMENT.pptx
CRITICAL THINKING AND NURSING JUDGEMENT.pptxCRITICAL THINKING AND NURSING JUDGEMENT.pptx
CRITICAL THINKING AND NURSING JUDGEMENT.pptx
PoojaSen20
N.C. DPI's 2023 Language Diversity Briefing
N.C. DPI's 2023 Language Diversity BriefingN.C. DPI's 2023 Language Diversity Briefing
N.C. DPI's 2023 Language Diversity Briefing
Mebane Rash
How to Configure Restaurants in Odoo 17 Point of Sale
How to Configure Restaurants in Odoo 17 Point of SaleHow to Configure Restaurants in Odoo 17 Point of Sale
How to Configure Restaurants in Odoo 17 Point of Sale
Celine George
TPR Data strategy 2025 (1).pdf Data strategy
TPR Data strategy 2025 (1).pdf Data strategyTPR Data strategy 2025 (1).pdf Data strategy
TPR Data strategy 2025 (1).pdf Data strategy
Henry Tapper
Fuel part 1.pptx........................
Fuel part 1.pptx........................Fuel part 1.pptx........................
Fuel part 1.pptx........................
ksbhattadcm
The basics of sentences session 6pptx.pptx
The basics of sentences session 6pptx.pptxThe basics of sentences session 6pptx.pptx
The basics of sentences session 6pptx.pptx
heathfieldcps1
Storytelling instructions...............
Storytelling instructions...............Storytelling instructions...............
Storytelling instructions...............
Alexander Benito
Blind spots in AI and Formulation Science, IFPAC 2025.pdf
Blind spots in AI and Formulation Science, IFPAC 2025.pdfBlind spots in AI and Formulation Science, IFPAC 2025.pdf
Blind spots in AI and Formulation Science, IFPAC 2025.pdf
Ajaz Hussain
Modeling-Simple-Equation-Using-Bar-Models.pptx
Modeling-Simple-Equation-Using-Bar-Models.pptxModeling-Simple-Equation-Using-Bar-Models.pptx
Modeling-Simple-Equation-Using-Bar-Models.pptx
maribethlacno2
FESTIVAL: SINULOG & THINGYAN-LESSON 4.pptx
FESTIVAL: SINULOG & THINGYAN-LESSON 4.pptxFESTIVAL: SINULOG & THINGYAN-LESSON 4.pptx
FESTIVAL: SINULOG & THINGYAN-LESSON 4.pptx
DanmarieMuli1
Computer Application in Business (commerce)
Computer Application in Business (commerce)Computer Application in Business (commerce)
Computer Application in Business (commerce)
Sudar Sudar
Mate, a short story by Kate Grenvile.pptx
Mate, a short story by Kate Grenvile.pptxMate, a short story by Kate Grenvile.pptx
Mate, a short story by Kate Grenvile.pptx
Liny Jenifer
DUBLIN PROGRAM DUBLIN PROGRAM DUBLIN PROGRAM
DUBLIN PROGRAM DUBLIN PROGRAM DUBLIN PROGRAMDUBLIN PROGRAM DUBLIN PROGRAM DUBLIN PROGRAM
DUBLIN PROGRAM DUBLIN PROGRAM DUBLIN PROGRAM
vlckovar
APM People Interest Network Conference - Tim Lyons - The neurological levels ...
APM People Interest Network Conference - Tim Lyons - The neurological levels ...APM People Interest Network Conference - Tim Lyons - The neurological levels ...
APM People Interest Network Conference - Tim Lyons - The neurological levels ...
Association for Project Management
Chapter 3. Social Responsibility and Ethics in Strategic Management.pptx
Chapter 3. Social Responsibility and Ethics in Strategic Management.pptxChapter 3. Social Responsibility and Ethics in Strategic Management.pptx
Chapter 3. Social Responsibility and Ethics in Strategic Management.pptx
Rommel Regala
Lesson Plan M1 2024 Lesson Plan M1 2024 Lesson Plan M1 2024 Lesson Plan M1...
Lesson Plan M1 2024  Lesson Plan M1 2024  Lesson Plan M1 2024  Lesson Plan M1...Lesson Plan M1 2024  Lesson Plan M1 2024  Lesson Plan M1 2024  Lesson Plan M1...
Lesson Plan M1 2024 Lesson Plan M1 2024 Lesson Plan M1 2024 Lesson Plan M1...
pinkdvil200
The Constitution, Government and Law making bodies .
The Constitution, Government and Law making bodies .The Constitution, Government and Law making bodies .
The Constitution, Government and Law making bodies .
saanidhyapatel09
Eng7-Q4-Lesson 1 Part 1 Understanding Discipline-Specific Words, Voice, and T...
Eng7-Q4-Lesson 1 Part 1 Understanding Discipline-Specific Words, Voice, and T...Eng7-Q4-Lesson 1 Part 1 Understanding Discipline-Specific Words, Voice, and T...
Eng7-Q4-Lesson 1 Part 1 Understanding Discipline-Specific Words, Voice, and T...
sandynavergas1

trigno.pptx

  • 3. Trigonometry (fromGreek trignon, "triangle" and metron, "measure") is a branch of mathematics that studies relationships involving lengths and angles of triangles.The field emerged during the 3rd century BC from applications of geometry to astronomical studies.
  • 9. Q) tan x sin x + cos x = sec x Solution:We will only use the fact that sin族 x + cos族 x = 1 for all values of x. LHS = tan x sin x + cos x =>sin x/cos x. sin x +cosx = >sin族 x/ cos x + cos x =>sin族 x/ cos x + cos族x /cosx => sin族 x + cos族 x/ cos x = >1/ cos x = RHS
  • 11. Q) Cos族 20+cos族 70/sin族 31+sin族 59+sin族 64+cos64.sin26 Solution:- cos族 20+sin族 (90-70)/sin族 31+sin族 (90- 59)+sin族 64+cos64.cos64 => 1+sin族 64+cos族 64 =>1+1 =>2
  • 13. We observe generally that children usually look up to see an airplane when it passes overhead.This line joining their eye to the plane while looking up is called LINE OF SIGHT.
  • 14. The angle which the line of sight makes with a horizontal line drawn away from their eyes is called the ANGLE OF ELEVATION of airplane from them.
  • 15. If the pilot of the airplane looks downward at any object on the ground then the angle between his line of sight and horizontal line drawn away from his eyes is called ANGLE OF DEPRESSION.