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5.6 The sine law Watch this!! Ambiguous Case

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Presentation on theme: "5.6 The sine law Watch this!! Ambiguous Case"— Presentation transcript:

1 5.6 The sine law Watch this!! Ambiguous Case

2 HOMEFUN  pg #1, 2, 4, 5, 6, 7, 8, 10, 12

3 videos  Sine Law Videos https://www.youtube.com/watch?v=dEa6OSht4NE
Ambiguous Case

4 VIDEOS  Cosine Law https://www.youtube.com/watch?v=iEWSqAk3hTw

5 Sine law

6 Sine law Given any triangle, the sine law can be used if you know
two sides and one angle opposite a given side (SSA) or two angles and any side (AAS or ASA)

7 Sine law - AMBIGUOUS CASE
The ambiguous case arises in a SSA (side, side, angle) triangle. In this situation, depending on the size of the angle and the lengths of the sides, the sine law calculation may lead to 0, 1, or 2 solutions.

8 AMBIGUOUS CASE

9 Sine law - AMBIGUOUS CASE

10 Example 1 Determine the distance c.

11 Example 1 Determine the distance c.

12 Example pg 318

13 bearing direction in which you have to move in order to reach an object measured clockwise from the magnetic North example The bearing of the lighthouse if 335o.

14 bearing In physics, the bearing is given using two cardinal points. example [N25o W] [W65oN]

15 Example 3

16 Example 3

17 HOMEFUN  pg #1, 2, 4, 5, 6, 7, 8, 10, 12


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