Ambiguous Law of Sines Compute b sin A, then compare to a No solution One Solution Two Solutions One Solution Compute side a to side b No solution One.

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Ambiguous Law of Sines Compute b sin A, then compare to a No solution One Solution Two Solutions One Solution Compute side a to side b No solution One Solution Remember SSA?

Example 1 Case 1: A < 90 & a < b Which is true? No solutions One Solution Two solutions Case 2: B > 90 Which is true? No solutions One Solution Compare a to b sinA: Calculate b sinA Compare b to c: Compute b sin A, then compare to a No solution One Solution Two Solutions One Solution Compute side a to side b No solution One Solution

Example 2 Draw a picture:

We noted at the beginning that there should be two possible solutions. Since one solution for Angle C = 76.3, the other possibility is 180 – 76.3 = Compute c sin A, then compare to a No solution One Solution Two Solutions One Solution

Draw a picture representing each possible solution & solve:

HW: Page 324