SlideShare a Scribd company logo
1 of 8
Angles in
Standard Position
P (x,y)
θ
Terminal side
Initial side
A (r,0)
What are coterminal angles?
Remember!
Two or more angles in standard position are
coterminal angles if the position of P is the same for
each angle.
If θ represents any angle, then any angle coterminal
with θ is represented by this expression, where n is
an integer, θ + n(360).
Example 1: θ = 150
A. Draw the angle θ in
standard position.
B. Find an angle which is
coterminal with θ.
C. Write an expression to
represent any angle
coterminal with θ.
What is reference angle?
For any angle θ in
standard position, its
reference angle (or related
angle) is the acute angle
formed by the terminal side
of θ and the x-axis.
Find the reference angle for each angle:
1. 150
2. -280
3. 472
8. 1 angles in standard position

More Related Content

More from Melchor Cachuela

More from Melchor Cachuela (20)

1 lesson 5 equations with radicals
1 lesson 5 equations with radicals1 lesson 5 equations with radicals
1 lesson 5 equations with radicals
 
1 lesson 1 4
1 lesson 1 41 lesson 1 4
1 lesson 1 4
 
1 lesson 7 introduction to complex numbers
1 lesson 7 introduction to complex numbers1 lesson 7 introduction to complex numbers
1 lesson 7 introduction to complex numbers
 
1 lesson 6 introduction to radical functions
1 lesson 6 introduction to radical functions1 lesson 6 introduction to radical functions
1 lesson 6 introduction to radical functions
 
1 lesson 5.1 applications of radicals
1 lesson 5.1 applications of radicals1 lesson 5.1 applications of radicals
1 lesson 5.1 applications of radicals
 
5 lesson 4 properties of trapezoids
5 lesson 4 properties of trapezoids5 lesson 4 properties of trapezoids
5 lesson 4 properties of trapezoids
 
5 lesson 3 rectangles, rhombi, and square
5 lesson 3 rectangles, rhombi, and square5 lesson 3 rectangles, rhombi, and square
5 lesson 3 rectangles, rhombi, and square
 
5 lesson 1 properties of parallelogram and lesson 2 tests of parallelogram
5 lesson 1 properties of parallelogram and lesson 2 tests of parallelogram5 lesson 1 properties of parallelogram and lesson 2 tests of parallelogram
5 lesson 1 properties of parallelogram and lesson 2 tests of parallelogram
 
4 lesson 1 6 ratio and proportion problems
4 lesson 1   6 ratio and proportion problems4 lesson 1   6 ratio and proportion problems
4 lesson 1 6 ratio and proportion problems
 
Solving radical equations
Solving radical equationsSolving radical equations
Solving radical equations
 
Review in math
Review in mathReview in math
Review in math
 
Quadratic equations and function
Quadratic equations and functionQuadratic equations and function
Quadratic equations and function
 
3 lesson 3 problems involving maximum and minimum points
3 lesson 3 problems involving maximum and minimum points3 lesson 3 problems involving maximum and minimum points
3 lesson 3 problems involving maximum and minimum points
 
3 lesson 2 graphs of quadratic function
3 lesson 2 graphs of quadratic function3 lesson 2 graphs of quadratic function
3 lesson 2 graphs of quadratic function
 
3 lesson 1 graphs of quadratic function
3 lesson 1 graphs of quadratic function3 lesson 1 graphs of quadratic function
3 lesson 1 graphs of quadratic function
 
2 lesson 4 applications of quadratic equations
2 lesson 4 applications of quadratic equations2 lesson 4 applications of quadratic equations
2 lesson 4 applications of quadratic equations
 
2 lesson 2 method of completing the square
2 lesson 2 method of completing the square2 lesson 2 method of completing the square
2 lesson 2 method of completing the square
 
2 lesson 1 the factoring method
2 lesson 1 the factoring method2 lesson 1 the factoring method
2 lesson 1 the factoring method
 
1 lesson 7 introduction to complex numbers
1 lesson 7 introduction to complex numbers1 lesson 7 introduction to complex numbers
1 lesson 7 introduction to complex numbers
 
1 lesson 6 introduction to radical functions
1 lesson 6 introduction to radical functions1 lesson 6 introduction to radical functions
1 lesson 6 introduction to radical functions
 

Recently uploaded

Spellings Wk 4 and Wk 5 for Grade 4 at CAPS
Spellings Wk 4 and Wk 5 for Grade 4 at CAPSSpellings Wk 4 and Wk 5 for Grade 4 at CAPS
Spellings Wk 4 and Wk 5 for Grade 4 at CAPS
AnaAcapella
 
The basics of sentences session 3pptx.pptx
The basics of sentences session 3pptx.pptxThe basics of sentences session 3pptx.pptx
The basics of sentences session 3pptx.pptx
heathfieldcps1
 

Recently uploaded (20)

How to Manage Call for Tendor in Odoo 17
How to Manage Call for Tendor in Odoo 17How to Manage Call for Tendor in Odoo 17
How to Manage Call for Tendor in Odoo 17
 
NO1 Top Black Magic Specialist In Lahore Black magic In Pakistan Kala Ilam Ex...
NO1 Top Black Magic Specialist In Lahore Black magic In Pakistan Kala Ilam Ex...NO1 Top Black Magic Specialist In Lahore Black magic In Pakistan Kala Ilam Ex...
NO1 Top Black Magic Specialist In Lahore Black magic In Pakistan Kala Ilam Ex...
 
OSCM Unit 2_Operations Processes & Systems
OSCM Unit 2_Operations Processes & SystemsOSCM Unit 2_Operations Processes & Systems
OSCM Unit 2_Operations Processes & Systems
 
Single or Multiple melodic lines structure
Single or Multiple melodic lines structureSingle or Multiple melodic lines structure
Single or Multiple melodic lines structure
 
Google Gemini An AI Revolution in Education.pptx
Google Gemini An AI Revolution in Education.pptxGoogle Gemini An AI Revolution in Education.pptx
Google Gemini An AI Revolution in Education.pptx
 
SOC 101 Demonstration of Learning Presentation
SOC 101 Demonstration of Learning PresentationSOC 101 Demonstration of Learning Presentation
SOC 101 Demonstration of Learning Presentation
 
Jamworks pilot and AI at Jisc (20/03/2024)
Jamworks pilot and AI at Jisc (20/03/2024)Jamworks pilot and AI at Jisc (20/03/2024)
Jamworks pilot and AI at Jisc (20/03/2024)
 
latest AZ-104 Exam Questions and Answers
latest AZ-104 Exam Questions and Answerslatest AZ-104 Exam Questions and Answers
latest AZ-104 Exam Questions and Answers
 
Spellings Wk 4 and Wk 5 for Grade 4 at CAPS
Spellings Wk 4 and Wk 5 for Grade 4 at CAPSSpellings Wk 4 and Wk 5 for Grade 4 at CAPS
Spellings Wk 4 and Wk 5 for Grade 4 at CAPS
 
COMMUNICATING NEGATIVE NEWS - APPROACHES .pptx
COMMUNICATING NEGATIVE NEWS - APPROACHES .pptxCOMMUNICATING NEGATIVE NEWS - APPROACHES .pptx
COMMUNICATING NEGATIVE NEWS - APPROACHES .pptx
 
Beyond_Borders_Understanding_Anime_and_Manga_Fandom_A_Comprehensive_Audience_...
Beyond_Borders_Understanding_Anime_and_Manga_Fandom_A_Comprehensive_Audience_...Beyond_Borders_Understanding_Anime_and_Manga_Fandom_A_Comprehensive_Audience_...
Beyond_Borders_Understanding_Anime_and_Manga_Fandom_A_Comprehensive_Audience_...
 
The basics of sentences session 3pptx.pptx
The basics of sentences session 3pptx.pptxThe basics of sentences session 3pptx.pptx
The basics of sentences session 3pptx.pptx
 
Food safety_Challenges food safety laboratories_.pdf
Food safety_Challenges food safety laboratories_.pdfFood safety_Challenges food safety laboratories_.pdf
Food safety_Challenges food safety laboratories_.pdf
 
On National Teacher Day, meet the 2024-25 Kenan Fellows
On National Teacher Day, meet the 2024-25 Kenan FellowsOn National Teacher Day, meet the 2024-25 Kenan Fellows
On National Teacher Day, meet the 2024-25 Kenan Fellows
 
Wellbeing inclusion and digital dystopias.pptx
Wellbeing inclusion and digital dystopias.pptxWellbeing inclusion and digital dystopias.pptx
Wellbeing inclusion and digital dystopias.pptx
 
Tatlong Kwento ni Lola basyang-1.pdf arts
Tatlong Kwento ni Lola basyang-1.pdf artsTatlong Kwento ni Lola basyang-1.pdf arts
Tatlong Kwento ni Lola basyang-1.pdf arts
 
Unit 3 Emotional Intelligence and Spiritual Intelligence.pdf
Unit 3 Emotional Intelligence and Spiritual Intelligence.pdfUnit 3 Emotional Intelligence and Spiritual Intelligence.pdf
Unit 3 Emotional Intelligence and Spiritual Intelligence.pdf
 
Sensory_Experience_and_Emotional_Resonance_in_Gabriel_Okaras_The_Piano_and_Th...
Sensory_Experience_and_Emotional_Resonance_in_Gabriel_Okaras_The_Piano_and_Th...Sensory_Experience_and_Emotional_Resonance_in_Gabriel_Okaras_The_Piano_and_Th...
Sensory_Experience_and_Emotional_Resonance_in_Gabriel_Okaras_The_Piano_and_Th...
 
Details on CBSE Compartment Exam.pptx1111
Details on CBSE Compartment Exam.pptx1111Details on CBSE Compartment Exam.pptx1111
Details on CBSE Compartment Exam.pptx1111
 
How to Manage Global Discount in Odoo 17 POS
How to Manage Global Discount in Odoo 17 POSHow to Manage Global Discount in Odoo 17 POS
How to Manage Global Discount in Odoo 17 POS
 

8. 1 angles in standard position

  • 4. Remember! Two or more angles in standard position are coterminal angles if the position of P is the same for each angle. If θ represents any angle, then any angle coterminal with θ is represented by this expression, where n is an integer, θ + n(360).
  • 5. Example 1: θ = 150 A. Draw the angle θ in standard position. B. Find an angle which is coterminal with θ. C. Write an expression to represent any angle coterminal with θ.
  • 6. What is reference angle? For any angle θ in standard position, its reference angle (or related angle) is the acute angle formed by the terminal side of θ and the x-axis.
  • 7. Find the reference angle for each angle: 1. 150 2. -280 3. 472