SlideShare a Scribd company logo
1 of 6
Download to read offline
Solving Trigonometric Equations ...




       let there be light... by flickr user darkmatter
P(⊝) lies on a ray that contains the point (9, -40) find the coordinates
of P(⊝).




 List the values of all six trigonometric ratios for P(⊝).
4. Assuming the point P lies on the intersection of the unit circle
and the line segment joining the origin to the point Q (-5, 12), find
the coordinates of P.

More Related Content

What's hot

Polyhedral computations in computational algebraic geometry and optimization
Polyhedral computations in computational algebraic geometry and optimizationPolyhedral computations in computational algebraic geometry and optimization
Polyhedral computations in computational algebraic geometry and optimizationVissarion Fisikopoulos
 
Applied Calculus Chapter 1 polar coordinates and vector
Applied Calculus Chapter  1 polar coordinates and vectorApplied Calculus Chapter  1 polar coordinates and vector
Applied Calculus Chapter 1 polar coordinates and vectorJ C
 
A Tutorial on Computational Geometry
A Tutorial on Computational GeometryA Tutorial on Computational Geometry
A Tutorial on Computational GeometryMinh-Tri Pham
 
April 15, 2015
April 15, 2015April 15, 2015
April 15, 2015khyps13
 
The Many Forms of Quadratic Equations
The Many Forms of Quadratic EquationsThe Many Forms of Quadratic Equations
The Many Forms of Quadratic Equationsguestd9670bb
 
oct14/09 dmcimath precal30s
oct14/09 dmcimath precal30soct14/09 dmcimath precal30s
oct14/09 dmcimath precal30sRyanWatt
 
5.vector geometry Further Mathematics Zimbabwe Zimsec Cambridge
5.vector geometry   Further Mathematics Zimbabwe Zimsec Cambridge5.vector geometry   Further Mathematics Zimbabwe Zimsec Cambridge
5.vector geometry Further Mathematics Zimbabwe Zimsec Cambridgealproelearning
 
EQUATION OF A PARABOLA FROM THE VERTEX AND DIRECTRIX
EQUATION OF A PARABOLA FROM THE VERTEX AND DIRECTRIXEQUATION OF A PARABOLA FROM THE VERTEX AND DIRECTRIX
EQUATION OF A PARABOLA FROM THE VERTEX AND DIRECTRIXsumanmathews
 
Pc sections p.4-p.5
Pc sections p.4-p.5Pc sections p.4-p.5
Pc sections p.4-p.5nscross40
 
Computational geometry
Computational geometryComputational geometry
Computational geometrymurali9120
 
countor integral
countor integralcountor integral
countor integralSheril Shah
 
Quaternion to Matrix, Matrix to Quaternion
Quaternion to Matrix, Matrix to QuaternionQuaternion to Matrix, Matrix to Quaternion
Quaternion to Matrix, Matrix to QuaternionMelody Kaye
 

What's hot (19)

Polyhedral computations in computational algebraic geometry and optimization
Polyhedral computations in computational algebraic geometry and optimizationPolyhedral computations in computational algebraic geometry and optimization
Polyhedral computations in computational algebraic geometry and optimization
 
Applied Calculus Chapter 1 polar coordinates and vector
Applied Calculus Chapter  1 polar coordinates and vectorApplied Calculus Chapter  1 polar coordinates and vector
Applied Calculus Chapter 1 polar coordinates and vector
 
Ms2 gradient of a curve and equation
Ms2 gradient of a curve and equationMs2 gradient of a curve and equation
Ms2 gradient of a curve and equation
 
A Tutorial on Computational Geometry
A Tutorial on Computational GeometryA Tutorial on Computational Geometry
A Tutorial on Computational Geometry
 
Gradient of a curve and equation of a
Gradient of a curve and equation of aGradient of a curve and equation of a
Gradient of a curve and equation of a
 
April 15, 2015
April 15, 2015April 15, 2015
April 15, 2015
 
The Many Forms of Quadratic Equations
The Many Forms of Quadratic EquationsThe Many Forms of Quadratic Equations
The Many Forms of Quadratic Equations
 
oct14/09 dmcimath precal30s
oct14/09 dmcimath precal30soct14/09 dmcimath precal30s
oct14/09 dmcimath precal30s
 
5.vector geometry Further Mathematics Zimbabwe Zimsec Cambridge
5.vector geometry   Further Mathematics Zimbabwe Zimsec Cambridge5.vector geometry   Further Mathematics Zimbabwe Zimsec Cambridge
5.vector geometry Further Mathematics Zimbabwe Zimsec Cambridge
 
EQUATION OF A PARABOLA FROM THE VERTEX AND DIRECTRIX
EQUATION OF A PARABOLA FROM THE VERTEX AND DIRECTRIXEQUATION OF A PARABOLA FROM THE VERTEX AND DIRECTRIX
EQUATION OF A PARABOLA FROM THE VERTEX AND DIRECTRIX
 
Pc sections p.4-p.5
Pc sections p.4-p.5Pc sections p.4-p.5
Pc sections p.4-p.5
 
26 Computational Geometry
26 Computational Geometry26 Computational Geometry
26 Computational Geometry
 
Alg2 lesson 13-3
Alg2 lesson 13-3Alg2 lesson 13-3
Alg2 lesson 13-3
 
Computational geometry
Computational geometryComputational geometry
Computational geometry
 
countor integral
countor integralcountor integral
countor integral
 
APPLICATION OF NUMERICAL METHODS IN SMALL SIZE
APPLICATION OF NUMERICAL METHODS IN SMALL SIZEAPPLICATION OF NUMERICAL METHODS IN SMALL SIZE
APPLICATION OF NUMERICAL METHODS IN SMALL SIZE
 
Unit 6.3
Unit 6.3Unit 6.3
Unit 6.3
 
Quaternion to Matrix, Matrix to Quaternion
Quaternion to Matrix, Matrix to QuaternionQuaternion to Matrix, Matrix to Quaternion
Quaternion to Matrix, Matrix to Quaternion
 
Lecture 5
Lecture 5Lecture 5
Lecture 5
 

Viewers also liked

Elecciones Animales
Elecciones AnimalesElecciones Animales
Elecciones Animalesangelakira17
 
Pre-Cal 40S Slides March 7, 2008
Pre-Cal 40S Slides March 7, 2008Pre-Cal 40S Slides March 7, 2008
Pre-Cal 40S Slides March 7, 2008Darren Kuropatwa
 
11 X1 T04 04 trigonometric equations (2010)
11 X1 T04 04 trigonometric equations (2010)11 X1 T04 04 trigonometric equations (2010)
11 X1 T04 04 trigonometric equations (2010)Nigel Simmons
 
11 x1 t04 06 cosine rule (2012)
11 x1 t04 06 cosine rule (2012)11 x1 t04 06 cosine rule (2012)
11 x1 t04 06 cosine rule (2012)Nigel Simmons
 
Section 7.3 trigonometric equations
Section 7.3 trigonometric equationsSection 7.3 trigonometric equations
Section 7.3 trigonometric equationsWong Hsiung
 
1.17.08 General Trig Equations
1.17.08   General Trig Equations1.17.08   General Trig Equations
1.17.08 General Trig Equationschrismac47
 

Viewers also liked (9)

Math12 lesson8
Math12 lesson8Math12 lesson8
Math12 lesson8
 
Elecciones Animales
Elecciones AnimalesElecciones Animales
Elecciones Animales
 
Notes 5-7
Notes 5-7Notes 5-7
Notes 5-7
 
Pre-Cal 40S Slides March 7, 2008
Pre-Cal 40S Slides March 7, 2008Pre-Cal 40S Slides March 7, 2008
Pre-Cal 40S Slides March 7, 2008
 
11 X1 T04 04 trigonometric equations (2010)
11 X1 T04 04 trigonometric equations (2010)11 X1 T04 04 trigonometric equations (2010)
11 X1 T04 04 trigonometric equations (2010)
 
11 x1 t04 06 cosine rule (2012)
11 x1 t04 06 cosine rule (2012)11 x1 t04 06 cosine rule (2012)
11 x1 t04 06 cosine rule (2012)
 
12.1 simplifying trig expressions
12.1 simplifying trig expressions12.1 simplifying trig expressions
12.1 simplifying trig expressions
 
Section 7.3 trigonometric equations
Section 7.3 trigonometric equationsSection 7.3 trigonometric equations
Section 7.3 trigonometric equations
 
1.17.08 General Trig Equations
1.17.08   General Trig Equations1.17.08   General Trig Equations
1.17.08 General Trig Equations
 

More from Darren Kuropatwa

Providing Permission To Wonder v2.1
Providing Permission To Wonder v2.1Providing Permission To Wonder v2.1
Providing Permission To Wonder v2.1Darren Kuropatwa
 
Things That Suck About Digital Citizenship v1
Things That Suck About Digital Citizenship v1Things That Suck About Digital Citizenship v1
Things That Suck About Digital Citizenship v1Darren Kuropatwa
 
Digital Storytelling for Deeper Learning v1
Digital Storytelling for Deeper Learning v1Digital Storytelling for Deeper Learning v1
Digital Storytelling for Deeper Learning v1Darren Kuropatwa
 
Tales of Learning and the Gifts of Footprints v4.2
Tales of Learning and the Gifts of Footprints v4.2Tales of Learning and the Gifts of Footprints v4.2
Tales of Learning and the Gifts of Footprints v4.2Darren Kuropatwa
 
Making Student Thinking Visible v4
 Making Student Thinking Visible v4 Making Student Thinking Visible v4
Making Student Thinking Visible v4Darren Kuropatwa
 
Leveraging Digital for Deeper Learning
Leveraging Digital for Deeper LearningLeveraging Digital for Deeper Learning
Leveraging Digital for Deeper LearningDarren Kuropatwa
 
We Learn Through Stories at PRIZMAH17
We Learn Through Stories at PRIZMAH17We Learn Through Stories at PRIZMAH17
We Learn Through Stories at PRIZMAH17Darren Kuropatwa
 
Providing Permission to Wonder v3
Providing Permission to Wonder v3Providing Permission to Wonder v3
Providing Permission to Wonder v3Darren Kuropatwa
 
Making Student Thinking Visible v3.7
 Making Student Thinking Visible v3.7 Making Student Thinking Visible v3.7
Making Student Thinking Visible v3.7Darren Kuropatwa
 
Providing Permission to Wonder v2
Providing Permission to Wonder v2Providing Permission to Wonder v2
Providing Permission to Wonder v2Darren Kuropatwa
 
We Learn Through Stories v4 (master class)
We Learn Through Stories v4 (master class)We Learn Through Stories v4 (master class)
We Learn Through Stories v4 (master class)Darren Kuropatwa
 
Deep Learning Design: the middle ring
Deep Learning Design: the middle ringDeep Learning Design: the middle ring
Deep Learning Design: the middle ringDarren Kuropatwa
 

More from Darren Kuropatwa (20)

Behind Their Eyes v1
Behind Their Eyes v1Behind Their Eyes v1
Behind Their Eyes v1
 
Leading Change v1
Leading Change v1Leading Change v1
Leading Change v1
 
Providing Permission To Wonder v2.1
Providing Permission To Wonder v2.1Providing Permission To Wonder v2.1
Providing Permission To Wonder v2.1
 
Things That Suck About Digital Citizenship v1
Things That Suck About Digital Citizenship v1Things That Suck About Digital Citizenship v1
Things That Suck About Digital Citizenship v1
 
Digital Storytelling for Deeper Learning v1
Digital Storytelling for Deeper Learning v1Digital Storytelling for Deeper Learning v1
Digital Storytelling for Deeper Learning v1
 
Tales of Learning and the Gifts of Footprints v4.2
Tales of Learning and the Gifts of Footprints v4.2Tales of Learning and the Gifts of Footprints v4.2
Tales of Learning and the Gifts of Footprints v4.2
 
The Fourth Screen v4.2
The Fourth Screen v4.2The Fourth Screen v4.2
The Fourth Screen v4.2
 
Making Student Thinking Visible v4
 Making Student Thinking Visible v4 Making Student Thinking Visible v4
Making Student Thinking Visible v4
 
Learning is at BYTE 2017
Learning is at BYTE 2017Learning is at BYTE 2017
Learning is at BYTE 2017
 
Leveraging Digital for Deeper Learning
Leveraging Digital for Deeper LearningLeveraging Digital for Deeper Learning
Leveraging Digital for Deeper Learning
 
We Learn Through Stories at PRIZMAH17
We Learn Through Stories at PRIZMAH17We Learn Through Stories at PRIZMAH17
We Learn Through Stories at PRIZMAH17
 
Providing Permission to Wonder v3
Providing Permission to Wonder v3Providing Permission to Wonder v3
Providing Permission to Wonder v3
 
The Fourth Screen v4.1
The Fourth Screen v4.1The Fourth Screen v4.1
The Fourth Screen v4.1
 
Making Student Thinking Visible v3.7
 Making Student Thinking Visible v3.7 Making Student Thinking Visible v3.7
Making Student Thinking Visible v3.7
 
Learning is at AUHSD
Learning is at AUHSDLearning is at AUHSD
Learning is at AUHSD
 
Providing Permission to Wonder v2
Providing Permission to Wonder v2Providing Permission to Wonder v2
Providing Permission to Wonder v2
 
The Fourth Screen v4
The Fourth Screen v4The Fourth Screen v4
The Fourth Screen v4
 
Learning is at BLC16
Learning is at BLC16Learning is at BLC16
Learning is at BLC16
 
We Learn Through Stories v4 (master class)
We Learn Through Stories v4 (master class)We Learn Through Stories v4 (master class)
We Learn Through Stories v4 (master class)
 
Deep Learning Design: the middle ring
Deep Learning Design: the middle ringDeep Learning Design: the middle ring
Deep Learning Design: the middle ring
 

Recently uploaded

URLs and Routing in the Odoo 17 Website App
URLs and Routing in the Odoo 17 Website AppURLs and Routing in the Odoo 17 Website App
URLs and Routing in the Odoo 17 Website AppCeline George
 
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
 
Web & Social Media Analytics Previous Year Question Paper.pdf
Web & Social Media Analytics Previous Year Question Paper.pdfWeb & Social Media Analytics Previous Year Question Paper.pdf
Web & Social Media Analytics Previous Year Question Paper.pdfJayanti Pande
 
Employee wellbeing at the workplace.pptx
Employee wellbeing at the workplace.pptxEmployee wellbeing at the workplace.pptx
Employee wellbeing at the workplace.pptxNirmalaLoungPoorunde1
 
POINT- BIOCHEMISTRY SEM 2 ENZYMES UNIT 5.pptx
POINT- BIOCHEMISTRY SEM 2 ENZYMES UNIT 5.pptxPOINT- BIOCHEMISTRY SEM 2 ENZYMES UNIT 5.pptx
POINT- BIOCHEMISTRY SEM 2 ENZYMES UNIT 5.pptxSayali Powar
 
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
 
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
 
Activity 01 - Artificial Culture (1).pdf
Activity 01 - Artificial Culture (1).pdfActivity 01 - Artificial Culture (1).pdf
Activity 01 - Artificial Culture (1).pdfciinovamais
 
Nutritional Needs Presentation - HLTH 104
Nutritional Needs Presentation - HLTH 104Nutritional Needs Presentation - HLTH 104
Nutritional Needs Presentation - HLTH 104misteraugie
 
microwave assisted reaction. General introduction
microwave assisted reaction. General introductionmicrowave assisted reaction. General introduction
microwave assisted reaction. General introductionMaksud Ahmed
 
Industrial Policy - 1948, 1956, 1973, 1977, 1980, 1991
Industrial Policy - 1948, 1956, 1973, 1977, 1980, 1991Industrial Policy - 1948, 1956, 1973, 1977, 1980, 1991
Industrial Policy - 1948, 1956, 1973, 1977, 1980, 1991RKavithamani
 
Interactive Powerpoint_How to Master effective communication
Interactive Powerpoint_How to Master effective communicationInteractive Powerpoint_How to Master effective communication
Interactive Powerpoint_How to Master effective communicationnomboosow
 
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
 
Paris 2024 Olympic Geographies - an activity
Paris 2024 Olympic Geographies - an activityParis 2024 Olympic Geographies - an activity
Paris 2024 Olympic Geographies - an activityGeoBlogs
 
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
 
Arihant handbook biology for class 11 .pdf
Arihant handbook biology for class 11 .pdfArihant handbook biology for class 11 .pdf
Arihant handbook biology for class 11 .pdfchloefrazer622
 
Sanyam Choudhary Chemistry practical.pdf
Sanyam Choudhary Chemistry practical.pdfSanyam Choudhary Chemistry practical.pdf
Sanyam Choudhary Chemistry practical.pdfsanyamsingh5019
 

Recently uploaded (20)

URLs and Routing in the Odoo 17 Website App
URLs and Routing in the Odoo 17 Website AppURLs and Routing in the Odoo 17 Website App
URLs and Routing in the Odoo 17 Website App
 
TataKelola dan KamSiber Kecerdasan Buatan v022.pdf
TataKelola dan KamSiber Kecerdasan Buatan v022.pdfTataKelola dan KamSiber Kecerdasan Buatan v022.pdf
TataKelola dan KamSiber Kecerdasan Buatan v022.pdf
 
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
 
Web & Social Media Analytics Previous Year Question Paper.pdf
Web & Social Media Analytics Previous Year Question Paper.pdfWeb & Social Media Analytics Previous Year Question Paper.pdf
Web & Social Media Analytics Previous Year Question Paper.pdf
 
Employee wellbeing at the workplace.pptx
Employee wellbeing at the workplace.pptxEmployee wellbeing at the workplace.pptx
Employee wellbeing at the workplace.pptx
 
POINT- BIOCHEMISTRY SEM 2 ENZYMES UNIT 5.pptx
POINT- BIOCHEMISTRY SEM 2 ENZYMES UNIT 5.pptxPOINT- BIOCHEMISTRY SEM 2 ENZYMES UNIT 5.pptx
POINT- BIOCHEMISTRY SEM 2 ENZYMES UNIT 5.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
 
Hybridoma Technology ( Production , Purification , and Application )
Hybridoma Technology  ( Production , Purification , and Application  ) Hybridoma Technology  ( Production , Purification , and Application  )
Hybridoma Technology ( Production , Purification , and Application )
 
Activity 01 - Artificial Culture (1).pdf
Activity 01 - Artificial Culture (1).pdfActivity 01 - Artificial Culture (1).pdf
Activity 01 - Artificial Culture (1).pdf
 
Nutritional Needs Presentation - HLTH 104
Nutritional Needs Presentation - HLTH 104Nutritional Needs Presentation - HLTH 104
Nutritional Needs Presentation - HLTH 104
 
microwave assisted reaction. General introduction
microwave assisted reaction. General introductionmicrowave assisted reaction. General introduction
microwave assisted reaction. General introduction
 
Mattingly "AI & Prompt Design: Structured Data, Assistants, & RAG"
Mattingly "AI & Prompt Design: Structured Data, Assistants, & RAG"Mattingly "AI & Prompt Design: Structured Data, Assistants, & RAG"
Mattingly "AI & Prompt Design: Structured Data, Assistants, & RAG"
 
Industrial Policy - 1948, 1956, 1973, 1977, 1980, 1991
Industrial Policy - 1948, 1956, 1973, 1977, 1980, 1991Industrial Policy - 1948, 1956, 1973, 1977, 1980, 1991
Industrial Policy - 1948, 1956, 1973, 1977, 1980, 1991
 
Interactive Powerpoint_How to Master effective communication
Interactive Powerpoint_How to Master effective communicationInteractive Powerpoint_How to Master effective communication
Interactive Powerpoint_How to Master effective communication
 
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
 
Paris 2024 Olympic Geographies - an activity
Paris 2024 Olympic Geographies - an activityParis 2024 Olympic Geographies - an activity
Paris 2024 Olympic Geographies - an activity
 
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
 
Arihant handbook biology for class 11 .pdf
Arihant handbook biology for class 11 .pdfArihant handbook biology for class 11 .pdf
Arihant handbook biology for class 11 .pdf
 
Sanyam Choudhary Chemistry practical.pdf
Sanyam Choudhary Chemistry practical.pdfSanyam Choudhary Chemistry practical.pdf
Sanyam Choudhary Chemistry practical.pdf
 
Mattingly "AI & Prompt Design: The Basics of Prompt Design"
Mattingly "AI & Prompt Design: The Basics of Prompt Design"Mattingly "AI & Prompt Design: The Basics of Prompt Design"
Mattingly "AI & Prompt Design: The Basics of Prompt Design"
 

Pre-Cal 40S February 10, 2009

  • 1. Solving Trigonometric Equations ... let there be light... by flickr user darkmatter
  • 2. P(⊝) lies on a ray that contains the point (9, -40) find the coordinates of P(⊝). List the values of all six trigonometric ratios for P(⊝).
  • 3.
  • 4.
  • 5.
  • 6. 4. Assuming the point P lies on the intersection of the unit circle and the line segment joining the origin to the point Q (-5, 12), find the coordinates of P.