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BOOK 519
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1/26/2016 5:48:09 PM
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/ 0 TRIGONOMETRIC FORMULAE },tv <br /> I B B B <br /> j. <br /> J � ZLr <br /> a c o <br /> a <br /> b C A b <br /> ja <br /> Right Triangle �Oblique Triangles <br /> _ Solution of Right Triangles <br /> 'Y 7 � & 1' W . �� c' --- a b a b a <br /> — 9 .x �. For Angle A sin c ,cos= e,tan= b,cot = ¢,sec= b, eoeee = e <br /> g L y S o Given Required a <br /> 2 4/ a, b A, B,c tan A= =sot B,c = a2-{ * a 1 77-az <br /> r / 7,•f 2..r. O 4 a d A b sin A=Q=cos B,b=%/ c�-a (——7=o <br /> ^ f s 4 t' , a A,a•' B, b, a B=90°—A,b = a cot A,c= a <br /> sin A. <br /> c B=90°—A,a = btanA o= <br /> cos A. – <br /> � A a, 3 B=90°—A,oa–'e sin A' –c cos A, <br /> Solution of Oblique Triangles <br /> O \ <br /> s <br /> lam,' .• .-.�__. ,i <br /> Required <br /> b = sin ' C= 180°—(A+B), o _ a sin C <br /> /• r - ' v ,2 sin A <br /> .� <br /> ,c, C sinB= b stern ASC= 180°—(A f B),c _ in C <br /> sin A <br /> �� �. I ;:. ;� - ., " ► A,B, c A}B=18p°—C,'tsn ij(A—B). a—b tan <br /> (A}B) <br /> a� b <br /> asin C <br /> a = sin A <br /> a+b+e " <br /> � <br /> A. B, C er r Z ,sin+} –A– <br /> N <br /> sinjB= s a ° C=180°—{A+B) <br /> P �a b c <br /> b, o aC ,area = a &--a <br /> QQ <br /> \\ l A b .d .0 <br /> Nil basirtAs = 2 <br /> vi "' V r+ R aiII B ala Q low <br /> V Q V til N ;\ �.,' \ d,B,C,a area <br /> a <br /> C� + 2sin A <br /> ' -REDUCTION TO HORIZO TA'L <br /> ►� P b �v i h '.h r .F Horizoeltal distance-Slopsby <br /> eaineof the ve�eal a 0e.Thus.sl n° <br /> i 4 YY <br /> ect angle=b IV. FORM Tables eos 6 1tY= <br /> ., 9Y6b Hor4nafal distarios A4X 1f. <br /> Horizoalmi dirree ayo�.distsnoe mi�n�slope <br /> times(1--aaooddnne of vdllicaI anger). Vi�ith the <br /> 1 ox .t� r N t � rw ' �' Horizontal.distaosp` �n�� �-9�t�eaedits!esanYpla.the follow. <br /> Y (j �9 �- 719fttgt t.isiblain 31 QIt 9YOB 1–.966f=�p(1. <br /> Whoa tba stse fs <br /> ct6p is approzim <br /> —the slope <br /> dist- <br /> e less lbsagmvM twiastMalopsdtance. Thus:rise_i4 .a <br /> pe dint 962 a it Horizontal distance=902.8– 14 <br /> -14 X 8026-092=80228!t. <br /> c ; d► . i r.�..� g <br /> W09 ip•v.e ti <br /> x <br /> w • <br /> i <br /> Is <br /> a <br />
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