Right Triangle Trigonometry: Solving Problems with Sine, Cosine, and Tangent, Slides of Trigonometry

Various topics in right triangle trigonometry, including similarity in right triangles, trigonometric ratios, solving right angles, and angles of elevation and depression. Students are directed to specific pages in a green workbook and attached pages for further study, along with answers for verification.

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2021/2022

Uploaded on 08/01/2022

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RightTriangleTrigonometry
81 SimilarityinRightTriangles
Geometricmean/MeanProportional
Similarproofstoderivethemeanproportionaltheorem
Proportionsinarighttriangle
1) GreenWorkbook:Pages327#’s119
2) AttachedPages:2&3
3) Answersforattachedpages:11&12
82TrigonometricRatios
Sine
Cosine
Tangent
RevisitSpecialRightTrianglestofindexactvalues
TrigonometricRatios:SpecialTriangles:
1) GreenWorkbook:Pages335336#’s118&Page337#’s16&1621
2) GreenWorkbookPage337#’s712[SpecialRightTriangles]
3) AttachedPages:4&5
4) Answersforattachedpages:13&14
83 SolvingRightAngles
“Findtheangles”
Usesin1,cos1,&tan1tofindthemeasureofangle
1) GreenWorkbookPage341#’s116
2) AttachedPages:6&7
3) Answersforattachedpages:15&16
84AnglesofElevationandDepression
1) GreenWorkbook:Page344#’s14&Page345#’s110
2) AttachedPages:8,9,&10
3) Answersforattachedpages:17
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Right Triangle Trigonometry

 8 ‐ 1 Similarity in Right Triangles ‐ Geometric mean/Mean Proportional ‐ Similar proofs to derive the mean proportional theorem ‐ Proportions in a right triangle

  1. Green Workbook: Pages 327 #’s 1 ‐ 19
  2. Attached Pages: 2 & 3
  3. Answers for attached pages: 11 & 12  8 ‐ 2 Trigonometric Ratios ‐ Sine ‐ Cosine ‐ Tangent ‐ Revisit Special Right Triangles to find exact values Trigonometric Ratios: Special Triangles:
  4. Green Workbook: Pages 335 ‐ 336 #’s 1 ‐ 18 & Page 337 #’s 1 ‐ 6 & 16 ‐ 21
  5. Green Workbook Page 337 #’s 7 ‐ 12 [Special Right Triangles]
  6. Attached Pages: 4 & 5
  7. Answers for attached pages: 13 & 14  8 ‐ 3 Solving Right Angles “Find the angles” ‐ Use sin ‐ 1 , cos ‐ 1 , & tan ‐ 1 to find the measure of angle
  8. Green Workbook Page 341 #’s 1 ‐ 16
  9. Attached Pages: 6 &
  10. Answers for attached pages: 15 & 16  8 ‐ 4 Angles of Elevation and Depression
  11. Green Workbook: Page 344 #’s 1 ‐ 4 & Page 345 #’s 1 ‐ 10
  12. Attached Pages: 8, 9, & 10
  13. Answers for attached pages: 17

ANSWER KEY

Angle of Elevation & Depression Worksheet

1. X = 78.8 feet

2. X = 59.3 meters

3. X  5.7° [Note 200 yards = 600 feet]

4. X  68.2°

5. X  12.2°

6. X  23.6°