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<br /> TRIGONQMRTILIC
<br /> is f
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<br /> 10
<br /> 3 7 ,
<br /> 4 �`, Oblique Triangles
<br /> /` 7 ution of R199ta,Triangles a 4/6 7'
<br /> " /e
<br /> u 7.3
<br /> / ! u it 3 9 --`r s /?o v o
<br /> For At�1q l: ,cos=—,tan— —,cot = —Agee—=—, cosec—
<br /> 0 °
<br /> a• a b a b a
<br /> io 3f
<br /> 3•z � a $ _tanA=b= cotAa = as i s 1 {
<br /> a
<br /> A, sin d®a=cos B,b=%1 o+a o—a =o
<br /> / • 9
<br /> 718, iE, =90°—A b a cotA a= a
<br /> 1Ob71 o(o 07 �' .i9 / � •? '�.! } ' sin A.
<br /> --�- 4 y
<br /> •B, B-900—Ata = b tan A,o= b
<br /> I
<br /> r 7. .0cos$ y r .,}B=90°—A,a=a sin A,b=o cos
<br /> �A, �
<br /> i7.
<br /> tion of Oblique Triangles
<br /> / 8 � ,3 . � 9 ;;.
<br /> 1" asiaB�U= 180°—(A { B),a =aeinC
<br /> An
<br /> (�— �.8s_ bAn"A asinC
<br /> / / 9 7 �- •�, d, g b B,a, sing= a ,C=-180°—(A+B),o= ein it
<br /> Yl 7 a, i4 fl._ d, "a o_C,�1.(A—B)= a—b ,ttan C bA+B.
<br /> I c' __
<br /> a sin C +
<br /> /l IV
<br /> 2. H. 7 6" `8= 2 •in '_ 8 b o—a (,�
<br /> OJ70 (o
<br /> sin ijB=�s so C=180°=(A+B)
<br /> / 1 u 3 v 9 S� y. 1 /0 3.90 _" a b a
<br /> o ,P 7 o-,,G �1 a S.d 9 " , ,8 ,'area
<br /> NL
<br /> fig —N� OIga�� a, - scea �:basitiA
<br /> Ire
<br /> t o ,'•08 Y of sWB sin C 7 4
<br /> 03 r'f In A �_
<br /> MON TO HORIZON4�-
<br /> cS'2'{ _- ! O 9,0 t ;: '-horizontal distance—Slope distance mul4li-d-by the
<br /> ( , cost"of the vertical angle.Thus:slope dlitshceoes=31104
<br /> 0 ,I2 Ir Vert angle-60 IW. From Tabl%Page IX
<br /> ° istal Slad�cAv o Horizontal dtance also distance us slops
<br /> A) I distautimes(1--cosine of ver icai angle). with the
<br /> V same fi is in the preceding example,the loUow-
<br /> J v 3 ,9 ,- �/ i resaltt °obtained.cosine a°lW—.i�.1—now=.00u.
<br /> d 7 b p !O 9, T�.7 81.64XA .J1:519.4-1.x1=3l& tt
<br /> urii� (� yi►;3ea lite rise the'hzo didefte is approximately:—the slope dist-
<br /> Of t sp divided twkslhe aYope dislaace. Thus:rise=14 ft,
<br /> L CO 11+' /O�I At s. #pe d AMM— ieonty dAND 14-�aoo b-asz�ao¢2s it. _
<br /> yc3X_ / 7. 37 i 4 !
<br /> y G may. � ,.##"°� a ' � •,:• tYaatas.e.a.
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