Pre-Calculus Homework Solutions 222

Pre-Calculus Homework Solutions 222 - sin D EF sin D 8 5....

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5. } s E in F D } 5 ¬ } s D in E F } } sin 8 D } 5 ¬ } sin 1 8 2 } 12sin D 5 ¬ 8sin82° sin D 5 ¬ } 8si 1 n 2 82° } D 5 ¬ sin 2 1 1 } 1 n 2 82° } 2 D < ¬ 41° m / D 1 m / E 1 m / F 5 ¬ 180 41 1 m / E 1 82 < ¬ 180 m / E 1 123 < ¬ 180 m / E < ¬ 57 } s D in F E } 5 ¬ } s E in F D } } si D n5 F } 5 ¬ } sin 8 41° } 8sin57° 5 ¬ DF sin41° } 8 s s in in 4 5 1 7 ° ° } 5 ¬ DF 10.2 < ¬ DF Page 384 Geometry Software Investigation: The Ambiguous Case of the Law of Sines 1. BD , AB , and m / A 2. Sample answer: There are two different triangles. 3. Sample answer: The results are the same. In each case, two triangles are possible. 4. Sample answer: Circle B intersects AC #$ at only one point. See students’ work. 5. Yes; sample answer: There is no solution if circle B does not intersect AC . The Law of Cosines Pages 387–388 Check for Understanding 1. Sample answer: Use the Law of Cosines when you have all three sides given (SSS) or two sides and the included angle (SAS). 2. If you have all three sides (SSS) or two sides and the included angle (SAS) given, then use the Law of Cosines. If two angles and one side (ASA or
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This note was uploaded on 12/19/2011 for the course MAC 1140 taught by Professor Dr.zhan during the Fall '10 term at UNF.

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