1 / 15

UNIT 3 – It’s All About Trig!! Part A – Trigonometry

UNIT 3 – It’s All About Trig!! Part A – Trigonometry. LESSON 1 –TRIGONOMETRY REVIEW. WARM-UP : State the three primary trigonometric ratios for . State the following: a) Sine Law. b) Cosine Law. Some Reminders…. In trigonometry….

sanjiv
Download Presentation

UNIT 3 – It’s All About Trig!! Part A – Trigonometry

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. UNIT 3 – It’s All About Trig!! Part A – Trigonometry LESSON 1 –TRIGONOMETRY REVIEW WARM-UP: State the three primary trigonometric ratios for . State the following: a) Sine Law b) Cosine Law

  2. Some Reminders… In trigonometry… • SOLVE means to find all the unknown sides and angles. • Angles are expressed using CAPITAL LETTERS. • Sides are expressed using lower case letters • Angle A is opposite to side a, etc… • Make sure your calculator is in degree mode! • Round side lengths to the nearest tenth of a unit. • (Unless otherwise stated in the problem) • Round angles to the nearest degree. • (Unless otherwise stated in the problem) NOTE: Try to use the original (given) information as much as possible…for accuracy! 

  3. The Primary Trigonometric Ratios • The three Primary Trig Ratios are: • The primary trig ratios can only be used with Right-Angled triangles.

  4. The Sine Law • The Sine Law can be used to solve a triangle when given: • The measures of any • 2 angles and 1 side. • The measures of 2 sides • and an angle opposite one • of these sides. I.e. You always need an angle and its opposite side. • The Sine Law:

  5. The Cosine Law • The Cosine Law can be used to solve a triangle when given: S-A-S • The measures of 2 sides and the contained angle. • The measures of all 3 sides S-S-S • The Cosine Law:

  6. Trigonometry Review EXAMPLE 1: Solve the following triangles. a)

  7. Trigonometry Review (Continued) EXAMPLE 1: Solve the following triangles. b)

  8. Trigonometry Review EXAMPLE 2: Solve for side t to the nearest metre.

  9. Some More Reminders… Angles of Elevation and Depression are always with respect to the horizontal line. Angle of Elevation Horizontal Angle of Depression

  10. Trigonometry Review EXAMPLE 3: From the top of a building 60 m high, the angle of depression of a car on the road is 37º. Calculate the distance from the base of the building to the car.

  11. Trigonometry Review EXAMPLE 4: Solve ABC given A=40º, B=74º and a = 5 cm.

  12. Trigonometry Review EXAMPLE 5: Given the following figure, find the side QT to the nearest tenth of a cm.

  13. Trigonometry Review EXAMPLE 6: Determine the length of BD to the nearest tenth of a metre.

  14. Trigonometry Review EXAMPLE 7: To find the height of the cliff that is inaccessible, a surveyor measures a baseline AC of 400m. In the horizontal plane ABC, A=27º and ACB = 35º. In the vertical plane BTC, BCT=18º. Determine the cliff height to the nearest metre.

  15. HomeFUN!!! • Complete ALL the examples from this PowerPoint  • Functions 11 Textbook!! • Pages 220 – 221 # 8, 10, 11, 12 • Page 255 # 3, 4

More Related