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8.1-Law of the Sines

8.1-Law of the Sines. 1. Law of the Sines & Requirements. 2. Examples. 3. Practice Problems. Law of the Sines. Law of the Sines. Requirements Two sides and an angle opposite to one of them SSA Two angles and any side AAS or ASA

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8.1-Law of the Sines

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  1. 8.1-Law of the Sines 1 Law of the Sines & Requirements 2 Examples 3 Practice Problems

  2. Law of the Sines

  3. Law of the Sines • Requirements • Two sides and an angle opposite to one of them • SSA • Two angles and any side • AAS or ASA • If these conditions are not met, the problem cannot be solved with the Law of the Sines

  4. New Calculator Tools • Arcsine • sin-1 • Arc-cosine • cos-1 • Arctangent • tan-1

  5. New Calculator Tools (Cont.) • Reverse the trig function process, where: the arc functions provide for:

  6. Example

  7. Example (Cont.)

  8. Another Example

  9. Another Example (Cont.)

  10. Tips • Check your calculator settings • Remember the sum of all angles in a triangle is 180 degrees or pi radians • Not all problems can be solved with the Law of Sines

  11. Practice Problems • Page 577 Problems 1-18

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