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1/26/2016 5:47:52 PM
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3„9 'k'st(�� <br /> . <br /> ' h 3 7o,,Ff TRIGONOMETRIC FORMULIE <br /> z,r B B B <br /> e c <br /> a <br /> A <br /> A <br /> a <br /> ` -�' C -. <br /> Triangle,�"• Oblique Triangles <br /> Z b r N� * '801 �. of Right. Triangles <br /> b <br /> ! For Angle A .Bin*� , = e ,tan— cot = a sec=b, cosec o <br /> Gihn a <br /> ;• a <br /> 7 a s� gb B,p =b= cot Brc =N/-a-2+-T2-=a 1a9 <br /> /�\ �...� r ri �'• l _ (i, Q a.006B,b (o+a) 6—li =61—et <br /> J <br /> 90°—,d,b =a cot A,c= a <br /> sin A. <br /> c B-90°—A,a = btan A,o= b <br /> coo A. <br /> X90°—A,a =c in A,b=o cos A, <br /> ,y o7 3J <br /> i. z/ 17 3olytion'of Oblique Triangles . <br /> a Bin B <br /> C L sin A 'C= 180°—(d-} B),c =a Bin C <br /> sin A <br /> j �>< l!, �'• 3 1- =.. C 4i = b ein Aga= 180°—(A+B),o = a sin C <br /> 7 J-J • ' <br /> 1 —�- 7 +B�180°-C,tan;(A—B)_(a—b)tan}(A+B) <br /> B) <br /> a sin C <br /> 11I� �-� � zy c — oinA <br /> m <br /> y <br /> �A— b e , <br /> r sia4B=V rU=180°—(A+B) <br /> - a a <br /> 1 W � <br /> 2 ,arca a(a—a}�s-31Zs—c) <br /> j'9 baainA <br /> i 7 arca = 2 <br /> a2 Bin B Bin C� _ <br /> 3' . e 2 sin A <br /> 7o f-I 3 ' REDUCTION TO HORIZONTAL <br /> Horizondistance=Slope distance <br /> eeemultiplied by the <br /> t IcosinVett.can a-50 101. FcalromTable,lYs¢e�IX cog 60 1 iR C <br /> Am Ho ' ntal distance=819.4X.9969_s1ao9 ft. <br /> i�iaao tal distance also=Slope distance minas aloes <br /> o disiaaae times(3=cosine of vertical an le). With the <br /> same sn*1es�s in th preced�a¢example,the follow- <br /> ' (� in¢result is eMltlned Cosine'6 i{V_JM 1-•.99f=.0941. <br /> ? " s ( S alst 4xae4i=1?<i. i.8l=slae9 tt *. <br /> _ io lnuri►n,tUR horioo fel dis� :Rp T—the'tnotle did _ <br /> W the 9 dMded by.twiestLe ps Thum floe=14 f,.. <br /> slope it Ziotfoophl dism�ll0$ <br /> 6--U2-=U ft <br /> `. . - IP r <br /> t <br /> 0 <br /> • <br />
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