Chapter 6 trigonometric functions right triangle approach
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Section 6.5 Law of Sines PowerPoint PPT Presentation


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Chapter 6 – Trigonometric Functions: Right Triangle Approach. Section 6.5 Law of Sines. Law of Sines. Used for oblique triangles (triangles that do not contain right angles). Law of Sines. We have two possible cases for the law of sines . Case 1 – One side and two angles (ASA or SAA)

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Section 6.5 Law of Sines

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Chapter 6 trigonometric functions right triangle approach

Chapter 6 – Trigonometric Functions: Right Triangle Approach

Section 6.5 Law of Sines

6.5 - Law of Sines


Law of sines

Law of Sines

  • Used for oblique triangles (triangles that do not contain right angles).

6.5 - Law of Sines


Law of sines1

Law of Sines

  • We have two possible cases for the law of sines.

    • Case 1 – One side and two angles (ASA or SAA)

    • Case 2 – Two sides and the opposite angle to one of those sides (SSA)

6.5 - Law of Sines


Definition

Definition

  • Law of Sines works when we have SAA or ASA.

6.5 - Law of Sines


Solving using saa

Solving Using SAA

Solve the triangles below:

a)b)

6.5 - Law of Sines


Solving using asa

Solving Using ASA

Solve the triangles below:

a)b)

6.5 - Law of Sines


The ambiguous case ssa

The Ambiguous Case (SSA)

SSA is called an ambiguous case because the given information can result in zero, one, or two triangles.

6.5 - Law of Sines


Ssa no triangle

SSA – No Triangle

6.5 - Law of Sines


Ssa one triangle

SSA – One Triangle

6.5 - Law of Sines


Ssa two triangles

SSA – Two Triangles

6.5 - Law of Sines


Examples ssa

Examples - SSA

  • Solve ABC if A = 50, a = 10, and b = 20.

6.5 - Law of Sines


Examples ssa1

Examples - SSA

  • Solve ABC if A = 40, a = 54, and b = 62.

6.5 - Law of Sines


Example pg 474

Example – pg. 474

6.5 - Law of Sines


Example pg 4741

Example – pg. 474

6.5 - Law of Sines


Example pg 4742

Example – pg. 474

6.5 - Law of Sines


Example pg 475

Example – pg. 475

6.5 - Law of Sines


More practice

More Practice

  • Sketch the triangle. Use the Law of Sines to solve for all possible triangles that satisfy the given conditions.

6.5 - Law of Sines


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