8.1-Law of the Sines

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1Law of the Sines & Requirements

Examples

Practice Problems

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Law of the Sines

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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

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New Calculator Tools

Arcsine sin-1

Arc-cosine cos-1

Arctangent tan-1

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New Calculator Tools (Cont.)

Reverse the trig function process, where:

the arc functions provide for:

hyp

oppsin

hyp

opp1sin

hyp

adjcos

hyp

adj1cos

adj

opptan

adj

opp1tan

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Example

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Example (Cont.)

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Another Example

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Another Example (Cont.)

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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

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Practice Problems

Page 577Problems 1-18