SlideShare a Scribd company logo
1 of 5
Download to read offline
Exact Angle - Multiples and x-y Plane
        In Degrees                  , 60 , 45 , 30




        90 - Multiples                         60 - Multiples
               o
                                       o                         o
                                    120



    o                           o
 180




                                           o                     o
                o




        45 - Multiples                          30 - Multiples
                          o
135o
                                                                     o
                                    150o




                                                                         o
                                    210o

   o                     315o
Exact Coordinates for P( )
 Recall, P( ) = (cos , sin )




P(180
x=y
                                                     1
Use a + b = c                                    =               y
                                             r


                                             x




       (-   ,    )                       (       ,           )




      (- ,- )                        (   ,-              )


Conclusion:

                P( ) = (+
                        -   ,+
                             -   )




     tan( ) = +1
              -
Conclusion:

              P( ) = (+
                      -   , +
                            -   )




                                +
                                -
1
                  1




                                   coordinates of 30




Conclusion:

              P( ) = (+
                      -   ,+
                           -   )

More Related Content

What's hot

情報学特論#01
情報学特論#01情報学特論#01
情報学特論#01Kenta Murata
 
Calculus II - 14
Calculus II - 14Calculus II - 14
Calculus II - 14David Mao
 
Pizza Problem
Pizza ProblemPizza Problem
Pizza ProblemHC Wong
 
Derivatives Table
Derivatives TableDerivatives Table
Derivatives TableSilvius
 
Calculus II - 7
Calculus II - 7Calculus II - 7
Calculus II - 7David Mao
 
Quadratic functions
Quadratic functionsQuadratic functions
Quadratic functionsAlexisGood1
 
2.7 more parabolas a& hyperbolas (optional) t
2.7 more parabolas a& hyperbolas (optional) t2.7 more parabolas a& hyperbolas (optional) t
2.7 more parabolas a& hyperbolas (optional) tmath260
 
T4 hukum linear
T4 hukum linearT4 hukum linear
T4 hukum linearazuraayob
 
Equation plane
Equation planeEquation plane
Equation planecmnell
 
Shubhanshumathprojectwork10 a-120930012042-phpapp01
Shubhanshumathprojectwork10 a-120930012042-phpapp01Shubhanshumathprojectwork10 a-120930012042-phpapp01
Shubhanshumathprojectwork10 a-120930012042-phpapp01Raghav Sachdeva
 

What's hot (18)

Ch14 23
Ch14 23Ch14 23
Ch14 23
 
情報学特論#01
情報学特論#01情報学特論#01
情報学特論#01
 
Calculus II - 14
Calculus II - 14Calculus II - 14
Calculus II - 14
 
Pizza Problem
Pizza ProblemPizza Problem
Pizza Problem
 
Derivatives Table
Derivatives TableDerivatives Table
Derivatives Table
 
Formulas
FormulasFormulas
Formulas
 
Calculus II - 7
Calculus II - 7Calculus II - 7
Calculus II - 7
 
Quadratic functions
Quadratic functionsQuadratic functions
Quadratic functions
 
2.7 more parabolas a& hyperbolas (optional) t
2.7 more parabolas a& hyperbolas (optional) t2.7 more parabolas a& hyperbolas (optional) t
2.7 more parabolas a& hyperbolas (optional) t
 
T4 hukum linear
T4 hukum linearT4 hukum linear
T4 hukum linear
 
Derivadas
DerivadasDerivadas
Derivadas
 
Exercícios
ExercíciosExercícios
Exercícios
 
Conformal mapping
Conformal mappingConformal mapping
Conformal mapping
 
Equation plane
Equation planeEquation plane
Equation plane
 
Shubhanshumathprojectwork10 a-120930012042-phpapp01
Shubhanshumathprojectwork10 a-120930012042-phpapp01Shubhanshumathprojectwork10 a-120930012042-phpapp01
Shubhanshumathprojectwork10 a-120930012042-phpapp01
 
Chapters 1 8 ( 6 marks)
Chapters 1   8 ( 6 marks)Chapters 1   8 ( 6 marks)
Chapters 1 8 ( 6 marks)
 
Python5 3
Python5 3Python5 3
Python5 3
 
Euler method in c
Euler method in cEuler method in c
Euler method in c
 

Viewers also liked

Pre-Calc 30S March 6
Pre-Calc 30S March 6Pre-Calc 30S March 6
Pre-Calc 30S March 6jchartiersjsd
 
Pre-Calc 30S April 18
Pre-Calc 30S April 18Pre-Calc 30S April 18
Pre-Calc 30S April 18jchartiersjsd
 
Day 11 examples u4w14
Day 11 examples u4w14Day 11 examples u4w14
Day 11 examples u4w14jchartiersjsd
 
Day 2 examples u5w14
Day 2 examples u5w14Day 2 examples u5w14
Day 2 examples u5w14jchartiersjsd
 
Pre-Calc 30S March 1
Pre-Calc 30S March 1Pre-Calc 30S March 1
Pre-Calc 30S March 1jchartiersjsd
 
презентация по физике.
презентация по физике.презентация по физике.
презентация по физике.karik123
 
Stress and selfishness dr. shriniwas kashalikar
Stress and selfishness dr. shriniwas kashalikarStress and selfishness dr. shriniwas kashalikar
Stress and selfishness dr. shriniwas kashalikarbanothkishan
 
C O R R U P T I O N S H R I N I W A S K A S H A L I K A R
C O R R U P T I O N  S H R I N I W A S  K A S H A L I K A RC O R R U P T I O N  S H R I N I W A S  K A S H A L I K A R
C O R R U P T I O N S H R I N I W A S K A S H A L I K A Rbanothkishan
 
Family Deity (Kuladevata) Dr Shriniwas Kashalikar
Family Deity (Kuladevata) Dr  Shriniwas KashalikarFamily Deity (Kuladevata) Dr  Shriniwas Kashalikar
Family Deity (Kuladevata) Dr Shriniwas Kashalikarbanothkishan
 
The fetters and the freedom dr. shriniwas kashalikar
The fetters and the freedom dr. shriniwas kashalikarThe fetters and the freedom dr. shriniwas kashalikar
The fetters and the freedom dr. shriniwas kashalikarbanothkishan
 
Tejaswi Drushti Bestseller For Super Eyesight Dr Shriniwas Kashalikar
Tejaswi Drushti Bestseller For Super Eyesight Dr  Shriniwas KashalikarTejaswi Drushti Bestseller For Super Eyesight Dr  Shriniwas Kashalikar
Tejaswi Drushti Bestseller For Super Eyesight Dr Shriniwas Kashalikarbanothkishan
 

Viewers also liked (20)

Pre-Calc 30S March 6
Pre-Calc 30S March 6Pre-Calc 30S March 6
Pre-Calc 30S March 6
 
Pre-Calc 30S April 18
Pre-Calc 30S April 18Pre-Calc 30S April 18
Pre-Calc 30S April 18
 
Day 2 examples
Day 2 examplesDay 2 examples
Day 2 examples
 
Day 3 examples
Day 3 examplesDay 3 examples
Day 3 examples
 
Day 1 examples
Day 1 examplesDay 1 examples
Day 1 examples
 
Day 11 examples u4w14
Day 11 examples u4w14Day 11 examples u4w14
Day 11 examples u4w14
 
Day 2 examples u5w14
Day 2 examples u5w14Day 2 examples u5w14
Day 2 examples u5w14
 
Pre-Calc 30S
Pre-Calc 30SPre-Calc 30S
Pre-Calc 30S
 
Pre-Calc 30S March 1
Pre-Calc 30S March 1Pre-Calc 30S March 1
Pre-Calc 30S March 1
 
Day 4 examples
Day 4 examplesDay 4 examples
Day 4 examples
 
презентация по физике.
презентация по физике.презентация по физике.
презентация по физике.
 
Day 5 examples
Day 5 examplesDay 5 examples
Day 5 examples
 
Stress and selfishness dr. shriniwas kashalikar
Stress and selfishness dr. shriniwas kashalikarStress and selfishness dr. shriniwas kashalikar
Stress and selfishness dr. shriniwas kashalikar
 
Day 4 examples
Day 4 examplesDay 4 examples
Day 4 examples
 
C O R R U P T I O N S H R I N I W A S K A S H A L I K A R
C O R R U P T I O N  S H R I N I W A S  K A S H A L I K A RC O R R U P T I O N  S H R I N I W A S  K A S H A L I K A R
C O R R U P T I O N S H R I N I W A S K A S H A L I K A R
 
Family Deity (Kuladevata) Dr Shriniwas Kashalikar
Family Deity (Kuladevata) Dr  Shriniwas KashalikarFamily Deity (Kuladevata) Dr  Shriniwas Kashalikar
Family Deity (Kuladevata) Dr Shriniwas Kashalikar
 
Day 3 examples
Day 3 examplesDay 3 examples
Day 3 examples
 
The fetters and the freedom dr. shriniwas kashalikar
The fetters and the freedom dr. shriniwas kashalikarThe fetters and the freedom dr. shriniwas kashalikar
The fetters and the freedom dr. shriniwas kashalikar
 
Day 2 examples
Day 2 examplesDay 2 examples
Day 2 examples
 
Tejaswi Drushti Bestseller For Super Eyesight Dr Shriniwas Kashalikar
Tejaswi Drushti Bestseller For Super Eyesight Dr  Shriniwas KashalikarTejaswi Drushti Bestseller For Super Eyesight Dr  Shriniwas Kashalikar
Tejaswi Drushti Bestseller For Super Eyesight Dr Shriniwas Kashalikar
 

Similar to Find exact coordinates for angles using trigonometric functions

Similar to Find exact coordinates for angles using trigonometric functions (8)

New day 5 examples
New day 5 examplesNew day 5 examples
New day 5 examples
 
26 Computational Geometry
26 Computational Geometry26 Computational Geometry
26 Computational Geometry
 
Lecture 02
Lecture 02Lecture 02
Lecture 02
 
Ian.petrow【transcendental number theory】.
Ian.petrow【transcendental number theory】.Ian.petrow【transcendental number theory】.
Ian.petrow【transcendental number theory】.
 
1 polar coordinates
1 polar coordinates1 polar coordinates
1 polar coordinates
 
Day 9-3 Notes
Day 9-3 NotesDay 9-3 Notes
Day 9-3 Notes
 
Aleesha guide to evaluating and converting
Aleesha guide to evaluating and convertingAleesha guide to evaluating and converting
Aleesha guide to evaluating and converting
 
Chapter 2 2.1.4
Chapter 2 2.1.4Chapter 2 2.1.4
Chapter 2 2.1.4
 

More from jchartiersjsd

Combs perms review pascals
Combs perms review pascalsCombs perms review pascals
Combs perms review pascalsjchartiersjsd
 
Day 8 examples u7w14
Day 8 examples u7w14Day 8 examples u7w14
Day 8 examples u7w14jchartiersjsd
 
Day 7 examples u7w14
Day 7 examples u7w14Day 7 examples u7w14
Day 7 examples u7w14jchartiersjsd
 
Day 4 examples u7w14
Day 4 examples u7w14Day 4 examples u7w14
Day 4 examples u7w14jchartiersjsd
 
Day 3 examples u7w14
Day 3 examples u7w14Day 3 examples u7w14
Day 3 examples u7w14jchartiersjsd
 
Day 2 examples u7w14
Day 2 examples u7w14Day 2 examples u7w14
Day 2 examples u7w14jchartiersjsd
 
Day 1 examples u7w14
Day 1 examples u7w14Day 1 examples u7w14
Day 1 examples u7w14jchartiersjsd
 
Test outline comp rational
Test outline comp rationalTest outline comp rational
Test outline comp rationaljchartiersjsd
 
Day 7 examples u6w14
Day 7 examples u6w14Day 7 examples u6w14
Day 7 examples u6w14jchartiersjsd
 
Day 5 examples u6w14
Day 5 examples u6w14Day 5 examples u6w14
Day 5 examples u6w14jchartiersjsd
 
Day 4 examples u6w14
Day 4 examples u6w14Day 4 examples u6w14
Day 4 examples u6w14jchartiersjsd
 
Day 3 examples u6w14
Day 3 examples u6w14Day 3 examples u6w14
Day 3 examples u6w14jchartiersjsd
 
Day 2 examples u6w14
Day 2 examples u6w14Day 2 examples u6w14
Day 2 examples u6w14jchartiersjsd
 
Day 1 examples u6w14
Day 1 examples u6w14Day 1 examples u6w14
Day 1 examples u6w14jchartiersjsd
 
Mental math test outline
Mental math test outlineMental math test outline
Mental math test outlinejchartiersjsd
 
Day 8 examples u5w14
Day 8 examples u5w14Day 8 examples u5w14
Day 8 examples u5w14jchartiersjsd
 
Day 7 examples u5w14
Day 7 examples u5w14Day 7 examples u5w14
Day 7 examples u5w14jchartiersjsd
 
Day 5 examples u5w14
Day 5 examples u5w14Day 5 examples u5w14
Day 5 examples u5w14jchartiersjsd
 

More from jchartiersjsd (20)

Exam outline j14
Exam outline j14Exam outline j14
Exam outline j14
 
Test outline
Test outlineTest outline
Test outline
 
Combs perms review pascals
Combs perms review pascalsCombs perms review pascals
Combs perms review pascals
 
Day 8 examples u7w14
Day 8 examples u7w14Day 8 examples u7w14
Day 8 examples u7w14
 
Day 7 examples u7w14
Day 7 examples u7w14Day 7 examples u7w14
Day 7 examples u7w14
 
Day 4 examples u7w14
Day 4 examples u7w14Day 4 examples u7w14
Day 4 examples u7w14
 
Day 3 examples u7w14
Day 3 examples u7w14Day 3 examples u7w14
Day 3 examples u7w14
 
Day 2 examples u7w14
Day 2 examples u7w14Day 2 examples u7w14
Day 2 examples u7w14
 
Day 1 examples u7w14
Day 1 examples u7w14Day 1 examples u7w14
Day 1 examples u7w14
 
Test outline comp rational
Test outline comp rationalTest outline comp rational
Test outline comp rational
 
Day 7 examples u6w14
Day 7 examples u6w14Day 7 examples u6w14
Day 7 examples u6w14
 
Day 5 examples u6w14
Day 5 examples u6w14Day 5 examples u6w14
Day 5 examples u6w14
 
Day 4 examples u6w14
Day 4 examples u6w14Day 4 examples u6w14
Day 4 examples u6w14
 
Day 3 examples u6w14
Day 3 examples u6w14Day 3 examples u6w14
Day 3 examples u6w14
 
Day 2 examples u6w14
Day 2 examples u6w14Day 2 examples u6w14
Day 2 examples u6w14
 
Day 1 examples u6w14
Day 1 examples u6w14Day 1 examples u6w14
Day 1 examples u6w14
 
Mental math test outline
Mental math test outlineMental math test outline
Mental math test outline
 
Day 8 examples u5w14
Day 8 examples u5w14Day 8 examples u5w14
Day 8 examples u5w14
 
Day 7 examples u5w14
Day 7 examples u5w14Day 7 examples u5w14
Day 7 examples u5w14
 
Day 5 examples u5w14
Day 5 examples u5w14Day 5 examples u5w14
Day 5 examples u5w14
 

Recently uploaded

Contemporary philippine arts from the regions_PPT_Module_12 [Autosaved] (1).pptx
Contemporary philippine arts from the regions_PPT_Module_12 [Autosaved] (1).pptxContemporary philippine arts from the regions_PPT_Module_12 [Autosaved] (1).pptx
Contemporary philippine arts from the regions_PPT_Module_12 [Autosaved] (1).pptxRoyAbrique
 
Introduction to AI in Higher Education_draft.pptx
Introduction to AI in Higher Education_draft.pptxIntroduction to AI in Higher Education_draft.pptx
Introduction to AI in Higher Education_draft.pptxpboyjonauth
 
Q4-W6-Restating Informational Text Grade 3
Q4-W6-Restating Informational Text Grade 3Q4-W6-Restating Informational Text Grade 3
Q4-W6-Restating Informational Text Grade 3JemimahLaneBuaron
 
The basics of sentences session 2pptx copy.pptx
The basics of sentences session 2pptx copy.pptxThe basics of sentences session 2pptx copy.pptx
The basics of sentences session 2pptx copy.pptxheathfieldcps1
 
SOCIAL AND HISTORICAL CONTEXT - LFTVD.pptx
SOCIAL AND HISTORICAL CONTEXT - LFTVD.pptxSOCIAL AND HISTORICAL CONTEXT - LFTVD.pptx
SOCIAL AND HISTORICAL CONTEXT - LFTVD.pptxiammrhaywood
 
The Most Excellent Way | 1 Corinthians 13
The Most Excellent Way | 1 Corinthians 13The Most Excellent Way | 1 Corinthians 13
The Most Excellent Way | 1 Corinthians 13Steve Thomason
 
Kisan Call Centre - To harness potential of ICT in Agriculture by answer farm...
Kisan Call Centre - To harness potential of ICT in Agriculture by answer farm...Kisan Call Centre - To harness potential of ICT in Agriculture by answer farm...
Kisan Call Centre - To harness potential of ICT in Agriculture by answer farm...Krashi Coaching
 
mini mental status format.docx
mini    mental       status     format.docxmini    mental       status     format.docx
mini mental status format.docxPoojaSen20
 
Call Girls in Dwarka Mor Delhi Contact Us 9654467111
Call Girls in Dwarka Mor Delhi Contact Us 9654467111Call Girls in Dwarka Mor Delhi Contact Us 9654467111
Call Girls in Dwarka Mor Delhi Contact Us 9654467111Sapana Sha
 
APM Welcome, APM North West Network Conference, Synergies Across Sectors
APM Welcome, APM North West Network Conference, Synergies Across SectorsAPM Welcome, APM North West Network Conference, Synergies Across Sectors
APM Welcome, APM North West Network Conference, Synergies Across SectorsAssociation for Project Management
 
Organic Name Reactions for the students and aspirants of Chemistry12th.pptx
Organic Name Reactions  for the students and aspirants of Chemistry12th.pptxOrganic Name Reactions  for the students and aspirants of Chemistry12th.pptx
Organic Name Reactions for the students and aspirants of Chemistry12th.pptxVS Mahajan Coaching Centre
 
Alper Gobel In Media Res Media Component
Alper Gobel In Media Res Media ComponentAlper Gobel In Media Res Media Component
Alper Gobel In Media Res Media ComponentInMediaRes1
 
MENTAL STATUS EXAMINATION format.docx
MENTAL     STATUS EXAMINATION format.docxMENTAL     STATUS EXAMINATION format.docx
MENTAL STATUS EXAMINATION format.docxPoojaSen20
 
Solving Puzzles Benefits Everyone (English).pptx
Solving Puzzles Benefits Everyone (English).pptxSolving Puzzles Benefits Everyone (English).pptx
Solving Puzzles Benefits Everyone (English).pptxOH TEIK BIN
 
Hybridoma Technology ( Production , Purification , and Application )
Hybridoma Technology  ( Production , Purification , and Application  ) Hybridoma Technology  ( Production , Purification , and Application  )
Hybridoma Technology ( Production , Purification , and Application ) Sakshi Ghasle
 
_Math 4-Q4 Week 5.pptx Steps in Collecting Data
_Math 4-Q4 Week 5.pptx Steps in Collecting Data_Math 4-Q4 Week 5.pptx Steps in Collecting Data
_Math 4-Q4 Week 5.pptx Steps in Collecting DataJhengPantaleon
 
A Critique of the Proposed National Education Policy Reform
A Critique of the Proposed National Education Policy ReformA Critique of the Proposed National Education Policy Reform
A Critique of the Proposed National Education Policy ReformChameera Dedduwage
 
Presentation by Andreas Schleicher Tackling the School Absenteeism Crisis 30 ...
Presentation by Andreas Schleicher Tackling the School Absenteeism Crisis 30 ...Presentation by Andreas Schleicher Tackling the School Absenteeism Crisis 30 ...
Presentation by Andreas Schleicher Tackling the School Absenteeism Crisis 30 ...EduSkills OECD
 

Recently uploaded (20)

Contemporary philippine arts from the regions_PPT_Module_12 [Autosaved] (1).pptx
Contemporary philippine arts from the regions_PPT_Module_12 [Autosaved] (1).pptxContemporary philippine arts from the regions_PPT_Module_12 [Autosaved] (1).pptx
Contemporary philippine arts from the regions_PPT_Module_12 [Autosaved] (1).pptx
 
Staff of Color (SOC) Retention Efforts DDSD
Staff of Color (SOC) Retention Efforts DDSDStaff of Color (SOC) Retention Efforts DDSD
Staff of Color (SOC) Retention Efforts DDSD
 
Introduction to AI in Higher Education_draft.pptx
Introduction to AI in Higher Education_draft.pptxIntroduction to AI in Higher Education_draft.pptx
Introduction to AI in Higher Education_draft.pptx
 
Q4-W6-Restating Informational Text Grade 3
Q4-W6-Restating Informational Text Grade 3Q4-W6-Restating Informational Text Grade 3
Q4-W6-Restating Informational Text Grade 3
 
The basics of sentences session 2pptx copy.pptx
The basics of sentences session 2pptx copy.pptxThe basics of sentences session 2pptx copy.pptx
The basics of sentences session 2pptx copy.pptx
 
Model Call Girl in Bikash Puri Delhi reach out to us at 🔝9953056974🔝
Model Call Girl in Bikash Puri  Delhi reach out to us at 🔝9953056974🔝Model Call Girl in Bikash Puri  Delhi reach out to us at 🔝9953056974🔝
Model Call Girl in Bikash Puri Delhi reach out to us at 🔝9953056974🔝
 
SOCIAL AND HISTORICAL CONTEXT - LFTVD.pptx
SOCIAL AND HISTORICAL CONTEXT - LFTVD.pptxSOCIAL AND HISTORICAL CONTEXT - LFTVD.pptx
SOCIAL AND HISTORICAL CONTEXT - LFTVD.pptx
 
The Most Excellent Way | 1 Corinthians 13
The Most Excellent Way | 1 Corinthians 13The Most Excellent Way | 1 Corinthians 13
The Most Excellent Way | 1 Corinthians 13
 
Kisan Call Centre - To harness potential of ICT in Agriculture by answer farm...
Kisan Call Centre - To harness potential of ICT in Agriculture by answer farm...Kisan Call Centre - To harness potential of ICT in Agriculture by answer farm...
Kisan Call Centre - To harness potential of ICT in Agriculture by answer farm...
 
mini mental status format.docx
mini    mental       status     format.docxmini    mental       status     format.docx
mini mental status format.docx
 
Call Girls in Dwarka Mor Delhi Contact Us 9654467111
Call Girls in Dwarka Mor Delhi Contact Us 9654467111Call Girls in Dwarka Mor Delhi Contact Us 9654467111
Call Girls in Dwarka Mor Delhi Contact Us 9654467111
 
APM Welcome, APM North West Network Conference, Synergies Across Sectors
APM Welcome, APM North West Network Conference, Synergies Across SectorsAPM Welcome, APM North West Network Conference, Synergies Across Sectors
APM Welcome, APM North West Network Conference, Synergies Across Sectors
 
Organic Name Reactions for the students and aspirants of Chemistry12th.pptx
Organic Name Reactions  for the students and aspirants of Chemistry12th.pptxOrganic Name Reactions  for the students and aspirants of Chemistry12th.pptx
Organic Name Reactions for the students and aspirants of Chemistry12th.pptx
 
Alper Gobel In Media Res Media Component
Alper Gobel In Media Res Media ComponentAlper Gobel In Media Res Media Component
Alper Gobel In Media Res Media Component
 
MENTAL STATUS EXAMINATION format.docx
MENTAL     STATUS EXAMINATION format.docxMENTAL     STATUS EXAMINATION format.docx
MENTAL STATUS EXAMINATION format.docx
 
Solving Puzzles Benefits Everyone (English).pptx
Solving Puzzles Benefits Everyone (English).pptxSolving Puzzles Benefits Everyone (English).pptx
Solving Puzzles Benefits Everyone (English).pptx
 
Hybridoma Technology ( Production , Purification , and Application )
Hybridoma Technology  ( Production , Purification , and Application  ) Hybridoma Technology  ( Production , Purification , and Application  )
Hybridoma Technology ( Production , Purification , and Application )
 
_Math 4-Q4 Week 5.pptx Steps in Collecting Data
_Math 4-Q4 Week 5.pptx Steps in Collecting Data_Math 4-Q4 Week 5.pptx Steps in Collecting Data
_Math 4-Q4 Week 5.pptx Steps in Collecting Data
 
A Critique of the Proposed National Education Policy Reform
A Critique of the Proposed National Education Policy ReformA Critique of the Proposed National Education Policy Reform
A Critique of the Proposed National Education Policy Reform
 
Presentation by Andreas Schleicher Tackling the School Absenteeism Crisis 30 ...
Presentation by Andreas Schleicher Tackling the School Absenteeism Crisis 30 ...Presentation by Andreas Schleicher Tackling the School Absenteeism Crisis 30 ...
Presentation by Andreas Schleicher Tackling the School Absenteeism Crisis 30 ...
 

Find exact coordinates for angles using trigonometric functions

  • 1. Exact Angle - Multiples and x-y Plane In Degrees , 60 , 45 , 30 90 - Multiples 60 - Multiples o o o 120 o o 180 o o o 45 - Multiples 30 - Multiples o 135o o 150o o 210o o 315o
  • 2. Exact Coordinates for P( ) Recall, P( ) = (cos , sin ) P(180
  • 3. x=y 1 Use a + b = c = y r x (- , ) ( , ) (- ,- ) ( ,- ) Conclusion: P( ) = (+ - ,+ - ) tan( ) = +1 -
  • 4. Conclusion: P( ) = (+ - , + - ) + -
  • 5. 1 1 coordinates of 30 Conclusion: P( ) = (+ - ,+ - )