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ArTRIGONOMETRIC FORMULIE
<br /> Jo>[ B B
<br /> /O:vo /o.sr /e'os'� � `f3. 1. 6 7`� B
<br /> rbc a
<br /> �9 /o�ul _31 % .dv b C' d b C b C
<br /> -V, 'R' bt Tr'
<br /> i
<br /> V1, eagle Ob
<br /> W L v: hue
<br /> 7 o Tris
<br /> / ../ /i,�s /Z /L/ !. a, y� � 9 agles
<br /> 3�
<br /> //3Y i / a Solution of Right Triangles
<br /> N ;S` a b
<br /> 5' u y I/,3.S' � For Angle A. sin =— cos= — tan= a b c e
<br /> J� 7 r $L/ 1 6. �.Y __. C ' C.r b ,Cot =a,sec=b, cosec= —
<br /> / q /ti;ti c' 9 d ,� r y! Given Repaired a a
<br /> l.'on S ' � . a, b A, B,c tanA=b= cotAa a2TV=a 1+��
<br /> sa
<br /> a, c A, B, b rind bLai
<br /> =a —
<br /> B
<br /> o —Cos ,
<br /> g 4. B, b, c B=90°—A,b =acotA,C= a ,.rqu'
<br /> sin A. f
<br /> B,a, e B=90°—A,a = b tan A.c= b �,
<br /> / G cos A.
<br /> i
<br /> G) ��i y. q,3, 9�' ,a B,a, b B=90°—d,a= csinA,b=eCosA, ,
<br /> /! 3 G`� , �a, Solution of Oblique Triangles //ti 1
<br /> I* P /d ex r LL z� 09. Required a sin B ,L% �
<br /> B,a b, c, C b - sin A C= 180°—(A+B), c = sin A
<br /> a' b B,c, C sin B= bsin A.a ,C= 180°—(d-f B),c = sin d
<br /> i C,cL-✓ /� s/ �IJ� b C
<br /> „ , -4, B, c A+B=180°—C tan (A—B)=(,—b) an (A{B)
<br /> as a -7 .1 `� //. 3 / ' ,
<br /> 0 9,- _ c = asinC a + b
<br /> ll- oC� yd 1- q t ' ✓ /c;J 3 r 1��� sin A ./f..
<br /> . ./ =y� + d " A, B. C 8=a+2+c,sin-'A_ �i±'
<br /> ` be
<br /> ./ 9 3 v ��n_ sin;B=�(e C=180°—(A+B)
<br /> J, e s �i- 9.8 / -✓;/ �J ', ? J 7 '• 06 �, a Area s= 2 , area = s s—a s— ) s—c //y. i
<br /> / ' / L a !/1 I 1 7 J d, b, d Area area = b c sin A
<br /> t 2
<br /> �# I
<br /> Y.y y as sin B sin C ; w o
<br /> d / o /. A,B,C,a Area area = --r-
<br /> -�
<br /> WA
<br /> REDUCTION TO HORIZONTAL o1
<br /> S 1 d.'a.�� �4g ,Y'y'/ �Ho�''�otaled aar�=Slope distar ee iettiplled by tbs.
<br /> �b - 'L6 � u� Ve ° u+gle Thaw slouedlDtancx &4tt.
<br /> / , i a yt an¢le—i 1W. From Table,Pala IIl.eos 5 1W=,
<br /> Ho9rizo n ntal distanaa i0.4X.6B66�i8 69 tt
<br /> e riiistaoee abroSlope distance,minas pe'
<br /> E tante times r1-s'osiae o!vet#ical aaglel w#h t6e
<br /> 1 same ile��as u in the Areaedine examp*the,iollnw-
<br /> _ domes ln9 recut!Ia obtained.
<br /> 8196,4X.0041_W1 a1.E19 4-1 i1r%tMesft. 60.1—.9BB .tNl11.
<br /> i • '+V I t / C L DUSStbsa9nare-of n'�si�ded°by=the elope ro m�atelnee. �risepe d tit.,
<br /> a1°pe dfsta itiecisortls . 0.diAS&-02#. 14
<br /> 1_,32-30L28 it.
<br /> . aAReA U.s.A.
<br /> Imam I III
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