8.1-Law of the Sines Law of the Sines & Requirements Examples Practice Problems

Law of the Sines 2

 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 3

New Calculator Tools  Arcsine  sin -1  Arc-cosine  cos -1  Arctangent  tan -1 4

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

Example 6

Example (Cont.) 7

Another Example 8

Another Example (Cont.) 9

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 10

Practice Problems  Page 577 Problems