SlideShare a Scribd company logo
1 of 36
Trigonometric ratios
Sine           sin
Cosine         cos
Tangent        tan
Cosecant       csc
Secant         sec
Cotangent      cot
SOH


CAH


TOA
Find the value of the six
trigonometric functions
for angle G.
Find the value of the six
trigonometric functions
for angle G.
                                        adj
 hyp = 40                   opp
 opp = 24
 adj = 32
                                  hyp
adj
opp



      hyp
If   find the value of csc A.
If   find the value of csc A.
If   find the value of csc A.
If   find the value of csc A.
If   find the value of csc A.
If   find the value of csc A.
If   find the value of csc A.
If   find the value of csc A.
If   find the value of csc A.
Special Triangles (page 703)
Find the value of x. Round
to the nearest tenth.
Find the value of x. Round
to the nearest tenth.

                                   hyp
                             opp
Find the value of x. Round
to the nearest tenth.

                                   hyp
                             opp
Find the value of x. Round
to the nearest tenth.

                                   hyp
                             opp
Find the value of x. Round
to the nearest tenth.

                                      hyp
                                opp




                or about 10.4
Solve XYZ. Round measures of sides to the nearest tenth
and measures of angles to the nearest degree.


              z
   x
Solve XYZ. Round measures of sides to the nearest tenth
and measures of angles to the nearest degree.


              z   hyp
   x
opp


                  adj
Solve XYZ. Round measures of sides to the nearest tenth
and measures of angles to the nearest degree.


              z   hyp
   x
opp


                  adj

Find angle Y
Solve XYZ. Round measures of sides to the nearest tenth
and measures of angles to the nearest degree.


              z   hyp
   x
opp


                  adj

Find angle Y

28 + 90 + Y = 180
Solve XYZ. Round measures of sides to the nearest tenth
and measures of angles to the nearest degree.


              z   hyp
   x
opp

                                   Find z
                  adj

Find angle Y

28 + 90 + Y = 180
Y = 62o
Solve XYZ. Round measures of sides to the nearest tenth
and measures of angles to the nearest degree.


              z   hyp
   x
opp

                                   Find z
                  adj

Find angle Y
                                                 11
28 + 90 + Y = 180
                                                 z
Y = 62o
Solve XYZ. Round measures of sides to the nearest tenth
and measures of angles to the nearest degree.


              z   hyp
   x
opp

                                   Find z
                  adj

Find angle Y
                                                 11
28 + 90 + Y = 180
                                                 z
Y = 62o
Solve XYZ. Round measures of sides to the nearest tenth
and measures of angles to the nearest degree.


              z   hyp
   x
opp

                                   Find z
                  adj

Find angle Y
                                                 11
28 + 90 + Y = 180
                                                 z
Y = 62o
Solve XYZ. Round measures of sides to the nearest tenth
and measures of angles to the nearest degree.

                                 Find x
              z   hyp
   x
opp


                  adj

Find angle Y

28 + 90 + Y = 180
Y = 62o
Solve XYZ. Round measures of sides to the nearest tenth
and measures of angles to the nearest degree.

                                 Find x
              z   hyp
   x
opp


                  adj

Find angle Y

28 + 90 + Y = 180
Y = 62o
Solve XYZ. Round measures of sides to the nearest tenth
and measures of angles to the nearest degree.

                                 Find x
              z   hyp
   x
opp


                  adj

Find angle Y

28 + 90 + Y = 180
Y = 62o
Solve XYZ. Round measures of sides to the nearest tenth
and measures of angles to the nearest degree.

                                 Find x
              z   hyp
   x
opp


                  adj

Find angle Y

28 + 90 + Y = 180
Y = 62o
Solve XYZ. Round measures of sides to the nearest tenth
and measures of angles to the nearest degree.

                                 Find x
              z   hyp
   x
opp


                  adj

Find angle Y

28 + 90 + Y = 180
Y = 62o

More Related Content

Similar to Alg2 lesson 13-1

Trigonometric function
Trigonometric functionTrigonometric function
Trigonometric functionAzurah Razak
 
19.1 Angles formed by intersecting lines.ppt
19.1 Angles formed by intersecting lines.ppt19.1 Angles formed by intersecting lines.ppt
19.1 Angles formed by intersecting lines.pptMomciloMisljenovic
 
Trig mini unit
Trig mini unitTrig mini unit
Trig mini unithisema01
 
Trigonometry functions of general angles reference angles
Trigonometry functions of general angles reference anglesTrigonometry functions of general angles reference angles
Trigonometry functions of general angles reference anglesJessica Garcia
 
Cosine and sine_rule
Cosine and sine_ruleCosine and sine_rule
Cosine and sine_rulewavcol
 
Cosine and sine_rule
Cosine and sine_ruleCosine and sine_rule
Cosine and sine_rulewavcol
 
Cosine and sine_rule
Cosine and sine_ruleCosine and sine_rule
Cosine and sine_rulewavcol
 
Cosine and sine_rule
Cosine and sine_ruleCosine and sine_rule
Cosine and sine_rulewavcol
 
Cosine and sine_rule
Cosine and sine_ruleCosine and sine_rule
Cosine and sine_rulewavcol
 
Cosine and sine_rule
Cosine and sine_ruleCosine and sine_rule
Cosine and sine_rulewavcol
 
Trigonometric (hayati pravita)
Trigonometric (hayati pravita)Trigonometric (hayati pravita)
Trigonometric (hayati pravita)Fadhel Hizham
 
Cosine and sine_rule
Cosine and sine_ruleCosine and sine_rule
Cosine and sine_ruleWestley Field
 
Cosine and sine_rule
Cosine and sine_ruleCosine and sine_rule
Cosine and sine_ruleWestley Field
 
9 trigonometric functions via the unit circle nat
9 trigonometric functions via the unit circle nat9 trigonometric functions via the unit circle nat
9 trigonometric functions via the unit circle natmath260
 
Obj. 8 Classifying Angles and Pairs of Angles
Obj. 8 Classifying Angles and Pairs of AnglesObj. 8 Classifying Angles and Pairs of Angles
Obj. 8 Classifying Angles and Pairs of Anglessmiller5
 
Trigonometric Function of General Angles Lecture
Trigonometric Function of General Angles LectureTrigonometric Function of General Angles Lecture
Trigonometric Function of General Angles LectureFroyd Wess
 
Kristi's Trig. for Dummies
Kristi's Trig. for DummiesKristi's Trig. for Dummies
Kristi's Trig. for Dummiesdaisyrock
 

Similar to Alg2 lesson 13-1 (20)

trig_functions_pp.ppt
trig_functions_pp.ppttrig_functions_pp.ppt
trig_functions_pp.ppt
 
Trigonometric function
Trigonometric functionTrigonometric function
Trigonometric function
 
19.1 Angles formed by intersecting lines.ppt
19.1 Angles formed by intersecting lines.ppt19.1 Angles formed by intersecting lines.ppt
19.1 Angles formed by intersecting lines.ppt
 
Hprec6 4
Hprec6 4Hprec6 4
Hprec6 4
 
Trig mini unit
Trig mini unitTrig mini unit
Trig mini unit
 
Trigonometry functions of general angles reference angles
Trigonometry functions of general angles reference anglesTrigonometry functions of general angles reference angles
Trigonometry functions of general angles reference angles
 
Cosine and sine_rule
Cosine and sine_ruleCosine and sine_rule
Cosine and sine_rule
 
Cosine and sine_rule
Cosine and sine_ruleCosine and sine_rule
Cosine and sine_rule
 
Cosine and sine_rule
Cosine and sine_ruleCosine and sine_rule
Cosine and sine_rule
 
Cosine and sine_rule
Cosine and sine_ruleCosine and sine_rule
Cosine and sine_rule
 
Cosine and sine_rule
Cosine and sine_ruleCosine and sine_rule
Cosine and sine_rule
 
Cosine and sine_rule
Cosine and sine_ruleCosine and sine_rule
Cosine and sine_rule
 
Trigonometric (hayati pravita)
Trigonometric (hayati pravita)Trigonometric (hayati pravita)
Trigonometric (hayati pravita)
 
Cosine and sine_rule
Cosine and sine_ruleCosine and sine_rule
Cosine and sine_rule
 
Cosine and sine_rule
Cosine and sine_ruleCosine and sine_rule
Cosine and sine_rule
 
9 trigonometric functions via the unit circle nat
9 trigonometric functions via the unit circle nat9 trigonometric functions via the unit circle nat
9 trigonometric functions via the unit circle nat
 
Obj. 8 Classifying Angles and Pairs of Angles
Obj. 8 Classifying Angles and Pairs of AnglesObj. 8 Classifying Angles and Pairs of Angles
Obj. 8 Classifying Angles and Pairs of Angles
 
Trigonometric Function of General Angles Lecture
Trigonometric Function of General Angles LectureTrigonometric Function of General Angles Lecture
Trigonometric Function of General Angles Lecture
 
Kristi's Trig. for Dummies
Kristi's Trig. for DummiesKristi's Trig. for Dummies
Kristi's Trig. for Dummies
 
Investigating Angles 1
Investigating Angles   1Investigating Angles   1
Investigating Angles 1
 

More from Carol Defreese (20)

1150 day 11
1150 day 111150 day 11
1150 day 11
 
1150 day 10
1150 day 101150 day 10
1150 day 10
 
1150 day 9
1150 day 91150 day 9
1150 day 9
 
1150 day 8
1150 day 81150 day 8
1150 day 8
 
1150 day 7
1150 day 71150 day 7
1150 day 7
 
1150 day 6
1150 day 61150 day 6
1150 day 6
 
1150 day 5
1150 day 51150 day 5
1150 day 5
 
1150 day 4
1150 day 41150 day 4
1150 day 4
 
1150 day 3
1150 day 31150 day 3
1150 day 3
 
1150 day 2
1150 day 21150 day 2
1150 day 2
 
1150 day 1
1150 day 11150 day 1
1150 day 1
 
Alg2 lesson 13-5
Alg2 lesson 13-5Alg2 lesson 13-5
Alg2 lesson 13-5
 
Alg2 lesson 13-4
Alg2 lesson 13-4Alg2 lesson 13-4
Alg2 lesson 13-4
 
Alg2 lesson 13-3
Alg2 lesson 13-3Alg2 lesson 13-3
Alg2 lesson 13-3
 
Alg2 lesson 13-3
Alg2 lesson 13-3Alg2 lesson 13-3
Alg2 lesson 13-3
 
Alg2 lesson 13-2
Alg2 lesson 13-2Alg2 lesson 13-2
Alg2 lesson 13-2
 
Alg2 lesson 11-2 and 11-4
Alg2 lesson 11-2 and 11-4Alg2 lesson 11-2 and 11-4
Alg2 lesson 11-2 and 11-4
 
Alg2 lesson 11-3
Alg2 lesson 11-3Alg2 lesson 11-3
Alg2 lesson 11-3
 
Alg2 lesson 11-1
Alg2 lesson 11-1Alg2 lesson 11-1
Alg2 lesson 11-1
 
Alg2 lesson 10-6
Alg2 lesson 10-6Alg2 lesson 10-6
Alg2 lesson 10-6
 

Recently uploaded

Measures of Central Tendency: Mean, Median and Mode
Measures of Central Tendency: Mean, Median and ModeMeasures of Central Tendency: Mean, Median and Mode
Measures of Central Tendency: Mean, Median and ModeThiyagu K
 
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
 
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
 
Employee wellbeing at the workplace.pptx
Employee wellbeing at the workplace.pptxEmployee wellbeing at the workplace.pptx
Employee wellbeing at the workplace.pptxNirmalaLoungPoorunde1
 
mini mental status format.docx
mini    mental       status     format.docxmini    mental       status     format.docx
mini mental status format.docxPoojaSen20
 
1029 - Danh muc Sach Giao Khoa 10 . pdf
1029 -  Danh muc Sach Giao Khoa 10 . pdf1029 -  Danh muc Sach Giao Khoa 10 . pdf
1029 - Danh muc Sach Giao Khoa 10 . pdfQucHHunhnh
 
Advanced Views - Calendar View in Odoo 17
Advanced Views - Calendar View in Odoo 17Advanced Views - Calendar View in Odoo 17
Advanced Views - Calendar View in Odoo 17Celine George
 
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
 
Grant Readiness 101 TechSoup and Remy Consulting
Grant Readiness 101 TechSoup and Remy ConsultingGrant Readiness 101 TechSoup and Remy Consulting
Grant Readiness 101 TechSoup and Remy ConsultingTechSoup
 
Sanyam Choudhary Chemistry practical.pdf
Sanyam Choudhary Chemistry practical.pdfSanyam Choudhary Chemistry practical.pdf
Sanyam Choudhary Chemistry practical.pdfsanyamsingh5019
 
1029-Danh muc Sach Giao Khoa khoi 6.pdf
1029-Danh muc Sach Giao Khoa khoi  6.pdf1029-Danh muc Sach Giao Khoa khoi  6.pdf
1029-Danh muc Sach Giao Khoa khoi 6.pdfQucHHunhnh
 
Nutritional Needs Presentation - HLTH 104
Nutritional Needs Presentation - HLTH 104Nutritional Needs Presentation - HLTH 104
Nutritional Needs Presentation - HLTH 104misteraugie
 
Beyond the EU: DORA and NIS 2 Directive's Global Impact
Beyond the EU: DORA and NIS 2 Directive's Global ImpactBeyond the EU: DORA and NIS 2 Directive's Global Impact
Beyond the EU: DORA and NIS 2 Directive's Global ImpactPECB
 
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
 
CARE OF CHILD IN INCUBATOR..........pptx
CARE OF CHILD IN INCUBATOR..........pptxCARE OF CHILD IN INCUBATOR..........pptx
CARE OF CHILD IN INCUBATOR..........pptxGaneshChakor2
 
Accessible design: Minimum effort, maximum impact
Accessible design: Minimum effort, maximum impactAccessible design: Minimum effort, maximum impact
Accessible design: Minimum effort, maximum impactdawncurless
 
SOCIAL AND HISTORICAL CONTEXT - LFTVD.pptx
SOCIAL AND HISTORICAL CONTEXT - LFTVD.pptxSOCIAL AND HISTORICAL CONTEXT - LFTVD.pptx
SOCIAL AND HISTORICAL CONTEXT - LFTVD.pptxiammrhaywood
 
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
 

Recently uploaded (20)

Código Creativo y Arte de Software | Unidad 1
Código Creativo y Arte de Software | Unidad 1Código Creativo y Arte de Software | Unidad 1
Código Creativo y Arte de Software | Unidad 1
 
Measures of Central Tendency: Mean, Median and Mode
Measures of Central Tendency: Mean, Median and ModeMeasures of Central Tendency: Mean, Median and Mode
Measures of Central Tendency: Mean, Median and Mode
 
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...
 
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
 
Employee wellbeing at the workplace.pptx
Employee wellbeing at the workplace.pptxEmployee wellbeing at the workplace.pptx
Employee wellbeing at the workplace.pptx
 
mini mental status format.docx
mini    mental       status     format.docxmini    mental       status     format.docx
mini mental status format.docx
 
1029 - Danh muc Sach Giao Khoa 10 . pdf
1029 -  Danh muc Sach Giao Khoa 10 . pdf1029 -  Danh muc Sach Giao Khoa 10 . pdf
1029 - Danh muc Sach Giao Khoa 10 . pdf
 
Advanced Views - Calendar View in Odoo 17
Advanced Views - Calendar View in Odoo 17Advanced Views - Calendar View in Odoo 17
Advanced Views - Calendar View in Odoo 17
 
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
 
Grant Readiness 101 TechSoup and Remy Consulting
Grant Readiness 101 TechSoup and Remy ConsultingGrant Readiness 101 TechSoup and Remy Consulting
Grant Readiness 101 TechSoup and Remy Consulting
 
Sanyam Choudhary Chemistry practical.pdf
Sanyam Choudhary Chemistry practical.pdfSanyam Choudhary Chemistry practical.pdf
Sanyam Choudhary Chemistry practical.pdf
 
1029-Danh muc Sach Giao Khoa khoi 6.pdf
1029-Danh muc Sach Giao Khoa khoi  6.pdf1029-Danh muc Sach Giao Khoa khoi  6.pdf
1029-Danh muc Sach Giao Khoa khoi 6.pdf
 
Nutritional Needs Presentation - HLTH 104
Nutritional Needs Presentation - HLTH 104Nutritional Needs Presentation - HLTH 104
Nutritional Needs Presentation - HLTH 104
 
Beyond the EU: DORA and NIS 2 Directive's Global Impact
Beyond the EU: DORA and NIS 2 Directive's Global ImpactBeyond the EU: DORA and NIS 2 Directive's Global Impact
Beyond the EU: DORA and NIS 2 Directive's Global Impact
 
Hybridoma Technology ( Production , Purification , and Application )
Hybridoma Technology  ( Production , Purification , and Application  ) Hybridoma Technology  ( Production , Purification , and Application  )
Hybridoma Technology ( Production , Purification , and Application )
 
CARE OF CHILD IN INCUBATOR..........pptx
CARE OF CHILD IN INCUBATOR..........pptxCARE OF CHILD IN INCUBATOR..........pptx
CARE OF CHILD IN INCUBATOR..........pptx
 
Accessible design: Minimum effort, maximum impact
Accessible design: Minimum effort, maximum impactAccessible design: Minimum effort, maximum impact
Accessible design: Minimum effort, maximum impact
 
SOCIAL AND HISTORICAL CONTEXT - LFTVD.pptx
SOCIAL AND HISTORICAL CONTEXT - LFTVD.pptxSOCIAL AND HISTORICAL CONTEXT - LFTVD.pptx
SOCIAL AND HISTORICAL CONTEXT - LFTVD.pptx
 
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"
 
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
 

Alg2 lesson 13-1

  • 1.
  • 2. Trigonometric ratios Sine sin Cosine cos Tangent tan Cosecant csc Secant sec Cotangent cot
  • 3.
  • 5.
  • 6. Find the value of the six trigonometric functions for angle G.
  • 7. Find the value of the six trigonometric functions for angle G. adj hyp = 40 opp opp = 24 adj = 32 hyp
  • 8. adj opp hyp
  • 9. If find the value of csc A.
  • 10. If find the value of csc A.
  • 11. If find the value of csc A.
  • 12. If find the value of csc A.
  • 13. If find the value of csc A.
  • 14. If find the value of csc A.
  • 15. If find the value of csc A.
  • 16. If find the value of csc A.
  • 17. If find the value of csc A.
  • 19. Find the value of x. Round to the nearest tenth.
  • 20. Find the value of x. Round to the nearest tenth. hyp opp
  • 21. Find the value of x. Round to the nearest tenth. hyp opp
  • 22. Find the value of x. Round to the nearest tenth. hyp opp
  • 23. Find the value of x. Round to the nearest tenth. hyp opp or about 10.4
  • 24. Solve XYZ. Round measures of sides to the nearest tenth and measures of angles to the nearest degree. z x
  • 25. Solve XYZ. Round measures of sides to the nearest tenth and measures of angles to the nearest degree. z hyp x opp adj
  • 26. Solve XYZ. Round measures of sides to the nearest tenth and measures of angles to the nearest degree. z hyp x opp adj Find angle Y
  • 27. Solve XYZ. Round measures of sides to the nearest tenth and measures of angles to the nearest degree. z hyp x opp adj Find angle Y 28 + 90 + Y = 180
  • 28. Solve XYZ. Round measures of sides to the nearest tenth and measures of angles to the nearest degree. z hyp x opp Find z adj Find angle Y 28 + 90 + Y = 180 Y = 62o
  • 29. Solve XYZ. Round measures of sides to the nearest tenth and measures of angles to the nearest degree. z hyp x opp Find z adj Find angle Y 11 28 + 90 + Y = 180 z Y = 62o
  • 30. Solve XYZ. Round measures of sides to the nearest tenth and measures of angles to the nearest degree. z hyp x opp Find z adj Find angle Y 11 28 + 90 + Y = 180 z Y = 62o
  • 31. Solve XYZ. Round measures of sides to the nearest tenth and measures of angles to the nearest degree. z hyp x opp Find z adj Find angle Y 11 28 + 90 + Y = 180 z Y = 62o
  • 32. Solve XYZ. Round measures of sides to the nearest tenth and measures of angles to the nearest degree. Find x z hyp x opp adj Find angle Y 28 + 90 + Y = 180 Y = 62o
  • 33. Solve XYZ. Round measures of sides to the nearest tenth and measures of angles to the nearest degree. Find x z hyp x opp adj Find angle Y 28 + 90 + Y = 180 Y = 62o
  • 34. Solve XYZ. Round measures of sides to the nearest tenth and measures of angles to the nearest degree. Find x z hyp x opp adj Find angle Y 28 + 90 + Y = 180 Y = 62o
  • 35. Solve XYZ. Round measures of sides to the nearest tenth and measures of angles to the nearest degree. Find x z hyp x opp adj Find angle Y 28 + 90 + Y = 180 Y = 62o
  • 36. Solve XYZ. Round measures of sides to the nearest tenth and measures of angles to the nearest degree. Find x z hyp x opp adj Find angle Y 28 + 90 + Y = 180 Y = 62o