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<br /> 9f,f /4-- TRIGONOMETRIC FORMULIE
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<br /> 3 F z. 6 J s' o '� r s a-c �, , Oblique Triangles
<br /> n,y /y p 3 • of 11f,Ott Triangles
<br /> __�-• 36�7 L 6 r x;31
<br /> E o 4 S For Angle c t cos *o ,tan= b ,cot =a,seta b, cosec m a
<br /> ':j r t.r Given a
<br /> x 39-� ' y 2 y 3 i r y v [ // / o n a,b B,a tag --= cotB,c=Va
<br /> Z 7� z a / J z., o i a, 0 8,b Q-e.B,b=�/ o�-a e-a =a 1-all�
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<br /> x 51 7.9 r t�, / 7_.'" X/ 1, - 9 za 1 y �.a b, o °—A,b = a cotA,o= sin A.
<br /> 23y o,� 3 "f, 1"4 a, o B°'W-A,a = btanA,a=
<br /> s' S - coo A. f 4 1 1 y C
<br /> f8 33, zT7- fro 77 � � L1' o iyp�F a, b B=W-A,a =csinA,b= ocosA, j ��IS7.i'
<br /> 3 :y G =----__
<br /> S 7y y7 / 3'o P o ` b u 2yo y Solytioll-:of Oblique Triangles j.
<br /> ° d1 6 3 6'r L: ! /o'..v Give quired a;sin B
<br /> 5.7 9 O'.[6 - 2 r e q A, , a, C b , C= 180°-(A+B),o= a sin C
<br /> 9 y �- _ s � 3 �71y759 2t' '7 93 i.i� ._, ein:A sin
<br /> 5 37 � 3�, 5`� I S-G� Yk .Ya S'z 3 2y F,, 7! ��_... �e C sinB=bsinA,�'= 180°_(A fB)�o_ asinC
<br /> �-- yo y t 59 •z 0 7 70 _ 8, 1 a sin A
<br /> 7 r s, Z ? S, 9 S- c -77
<br /> ; ° (a-b)tan$(A♦ B)
<br /> 5�� 1.I'7 / g b, , B,c A+B=180-C,tan;(A-B)=
<br /> 1 /- 31 13 Ir 1 }.t' �c'i o = asinC
<br /> sin A
<br /> �2fSy�2i� 33� r—=-y 21 B, C a—a+b+e
<br /> 3 0 , — ,sin1A— la- (a—o
<br /> 4, rt 37.6 4 2 —A b o
<br /> —G 3 .0 �' 4,yL 3 �=
<br /> s-' --'' K-Mss sin 1B-�(a )(� ,C 180°-(A+B)
<br /> 2 /— ' �1,9 � �y z� I a+b+c ao
<br /> c
<br /> , area
<br /> bcsin A = a(s-a a- (a-e
<br /> 2/ 9, 7'y ,�G,FS'% /- ' �•L y? rJ. 9y b1 t�- g
<br /> 2 !7 f
<br /> 2/ f'N t 3/ �j 2 9 S I? 9 1 g' 7 Z a'sin B sin C / 8+/
<br /> Y� s.J _. ! I 9/ 1-�- Z S`a; area = 2 sin A / S't4 1,4 L
<br /> 1 / 6 p 37 03 y. 3/`' Ar 6 y )43 -REDUCTION TO HORIZONTAL "/ 9 L
<br /> — G / 9 /J / ' 3 r S a.:` a cosineftheverticalangle.Thus slopedianse staanee=31&441te .
<br /> 20 1 yl ?� © 2 s" 3 --4- 90 / o Vert. angle=6°101. From Table,Page IX.cos 60 10f=
<br /> f i L f ' � z 0 8 9869. Horizontal distance=319.4X.9860=918.09 L
<br /> Z ey os' / 2 ,7 L a 4 a 1 3 3 L Iioriz04W distance also=Slave distance us
<br /> verldeat
<br /> 7 s'.B s auoa
<br /> � qa ai ►theme per; foLZ
<br /> S t o, 7! Vorizoa ing Wt is obtataed.Cosine 6°10�me
<br /> y al 0941-1.s1.915.4-1 31=a1s�„tt
<br /> t.`s . C�i 7 +Y 1 vt��' o �' Wh9M I
<br /> ea is kno zontsl distanee'is aeerosi e�y;-�the dope
<br /> e lrbtwice the slo d}stanc�fLa. us*rine=1i lt.,2 , /6 � 27C
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