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4'17
<br /> 72-
<br /> �7 o /���� f '� 7� TRIGONOMEFORMUL&
<br /> Z4LAC 417 / 3 3o•oo
<br /> "Y, 1778 d , Ae B
<br /> B
<br /> i 7r l 7 3 . ;rtf'A-It.13 of f 2-4 , 7f ✓ a ac a
<br /> / 2yi c y,N2
<br /> so+t s,z6 , s 1� 1°' ' b a a A b C
<br /> Right Triangle Oblique Triangles
<br /> IL 7 r+ 1, c 3 Solution of Right Triangl"
<br /> Z o For Angle A. Bin =a b
<br /> Z 7.0 7 8 e ,cos=7,tan= b ,cot = ,sec= b, cosec =
<br /> Given Req%red a
<br /> JL a. a, b A,R,c tan cot B,c = a$-} 2 =a IT s
<br /> i7t7B / 327,6 3 a, a A, B, b sinA=�= a
<br /> 24fS2.47 y.,,ft,f.ur c cosB,b—, 3 a �,a, =c 1—a
<br /> 7/'E 9•d. 7 5 V
<br /> O s
<br /> ,i-3-o! 7 ! A,a A B=�°A,b =acotA,a— —I—
<br /> x A..
<br /> 5 , 68 ��9 aiv A, b• Aa, a B=90°—A,a = btan A,a= b
<br /> —2y f 1 n1 B
<br /> .� 7 A, cos A.
<br /> a '=�+r b =90°—A,a=o sin A,b=c cos A,
<br /> 6.q a — F/g .r 9 q. 2 y Solution of Oblique Triangles
<br /> d __ a sin B
<br /> C b sin A ' C= 180°—(A+B),c =a sin C
<br /> S�• 7 L ' b sin A sin A
<br /> a,. g,o, C sin B= a ,C= 180°—(A-p•B),a = a sin C
<br /> sin A
<br /> $,c A+B=1801—C,tan i(A—B)= —b tan$(
<br /> aA { B)
<br /> _ asinC a+ b ,
<br /> S't "' c cin A 9"7 I L
<br /> y1079l1 xstB C 8a+
<br /> iaA
<br /> b+c,Ba a—c
<br /> = 2
<br /> 06 �� g sing__ a—a s—c
<br /> b ( a c C=180°—( +B)
<br /> 2 , area = a a—a
<br /> A, b e Aretr b e Bin A
<br /> SL,b r area =
<br /> 2
<br /> A B C aa'sin B sin C
<br /> Aral area = — —_
<br /> . REDUCTION TO HORIZONTAL
<br /> Horizontal distance—Slope distance multiplied by the
<br /> t19ds
<br /> lope e Vsineof
<br /> = °IuPo rt.. n¢ebFrom Table, ge cos b'1W9969.
<br /> Horizontal distan0e=319.4X.9969=31&09 ft. pe
<br /> k s tje A distancetimese(1—cosi a of nce also=vertic Wigle). Withlo e •
<br /> same figares as fn the preceding example,the follow.
<br /> ~ 'Horizontal distance ing result is obiabied.f)oBine b°1W=.9m,I—Aw=.0o4y
<br /> When the rise a lrno 3l&4X.0941=x,31.319.4-1,31=31&09 ft.
<br /> - less the square of the rise divided by twice the slope distance Thus he horizontal distance is&IrOximatel --tbrslo
<br /> ise�14
<br /> Otanee=302e ft, Horizontal distance--me_14 X 14 1�� ��14
<br /> 2 X-s0E,6
<br /> ,i- MAN IM Y,B.A.
<br /> . � 1,
<br />
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