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1.$ 1 ya .j D� TRIGONOMETRIC FORMULdE <br /> ' a <br /> a a a ° a <br /> ,311 <br /> b C411 <br /> A _ b <br /> Oblique Triangle; . <br /> 91.G 2p 7/ " n 9alutioof Right Triangles <br /> For Angle sr— �=b tan= a , b sec= a o <br /> 6 a + a , b cot = � �� <br /> % a b <br /> a <br /> .)Sp a, b b cot B,c = ' = a 1 �-- <br /> 7 77 « o tan A=—_ <br /> '/6 v �f1S- 6- 27 6f'3o G t33 6� , ,.. ar <br /> T b a i n A=o =cos B b= <br /> �(c-I a o-ca =c�1EL <br /> — <br /> ' .. as <br /> A,a d B=90o—A b =a a <br /> 7toz 7,�o� 7f�G 7fza' cotA,o sin .. <br /> _. <br /> 1 f ��a✓vl t /4 A�m � a B=90°—A,a = b tan A,o=tw d:.-. <br /> �� 7 d .y a.. •�,s. B=90°—A,a =a sin A,b=a coo A, <br /> Solution of Oblique Triangles <br /> 28 wi. B,a b, a, d b = snnA , C= 180°—(A+B), c= asinC <br /> r - i sinA <br /> b sin A <br /> s' y a, b $r e,'O sin B= <br /> a ,C= 180°—(A+B),o = a sin a <br /> sin A <br /> S.109 <br /> 7f 7 a, _k A+B=180°—C,tan i(A—B) a—b t n SA♦B) <br /> S� /7— rS a+ b <br /> ,�------ a _ a sin C <br /> 3 — +b , sin A <br /> A,$,`0' s= 2+a,ein�A=V is- (s—c <br /> V a s <br /> ein jB=, " a ,C 180°—(A+B) <br /> .. <br /> tpiwlitAnsi a=-+b1i <br /> 2 area <br /> = <br /> g , e s a e—• <br /> Abosin A <br /> 2 6 , b, o Ates-- area = 2 q <br /> J `Z3 �/ 7f/ ` � � " 4 A,B,C,a Ares: area =a2 sin B sin C-------- . <br /> 2sin A rO�. <br /> REDUCTION TO HORIZONTAL g' <br /> Horizontal distZ le moped�tapoe mul pli �the <br /> eoaipeoftheveotiedanale w 7 Oft. <br /> 3 a�gtsQ overt male=6 10 .From ble P7C �oaa= <br /> V '7 Qr' w mope 9ori utdHordistal distance Sid{ s18 U9 ft, <br /> Horizontal distu►oe;aLo=$lotre the oa ans ste <br /> S TG�rF u /7F �� e. Q e distance times(1r-cosine of ve id pe <br /> aadlA With the <br /> /J 'F Horhvntal distance Q result obtain Cos M� th llow <br /> When the rl"is lrno "X.9011 1.81 819.4-181=81809 ft ? .F <br /> less the s w wn the llorizontd di os Is aporozimatel th•sl <br /> a Q1:are of the rise divided by twice the-lope distauee us:rLex <br /> L•c, 7�iow °distanoeo-s028ft. Horizontaldiatanee—Me— -=8828-982-809.28 <br /> a x sole <br />