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Ambiguous Case - Trignometry - Lecture Notes, Study notes of Trigonometry

This lecture handout is from basic course of Trigonometry. Even it has basic information of maths still its worth subject if you want to learn maths. This lecture teaches us things like: Ambiguous Case, Trignometric Rules, Principles of Geometry, Unit Circle, Sine Value

Typology: Study notes

2012/2013

Uploaded on 02/01/2013

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Download Ambiguous Case - Trignometry - Lecture Notes and more Study notes Trigonometry in PDF only on Docsity!

Advanced Algebra Section Trig2.4 LT: Use Law of Sines to find missing sides & angles (given SSA or ... - ambiguous case) e Look on unit circle to see 2 angles for single sine value e Use Law of Sines to find the missing angle o Subtract angle from 180° to find possible alternate — a. 2 triangle exists only if 3 angles can add to 180° rd « Find the 3" angle and corresponding side using subtraction and Law of Sines e Examples = Find the missing angles and side. Round to 2 decimal places. 1) B=32°,b=7,c=4 e z Sin 3% ém © fo > Ke - = (ees? Y gin 32” = Sj \Go -\1.63 _ ” 4. an (O36 = $10 a) aks fc=v.es'| no 3 A=\4o-B-c= 136.30" Sin 3U° San 130.3" q a (a =\0.04] 2) A=47°,a=15,b=18 ae : as S Senay 308 ——_—_— % \wo - B 16 sin WIPE AS Sen B (a> ~ 61-36" ghia 1S \S 5.4 0.442508 Ble’ CB 6l.36°=@ 2 C=\4o-h-B = B ee a sa orse = Cue ‘) (Go - G.6F C= 4% Sun 71.by* En" (C= 4) < ” an 4 sn We = o _"= IS SraWby = ¢ sin \S e ee ec Saul= sa t.3e ie iene Cn (c=10.1 | 50 sia) (¢ = 9.61 |\ 1/2