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Worksheet_16_Solutions

Worksheet_16_Solutions - .50 A 141 J MATH 110 Worksheet 16...

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Unformatted text preview: .50 A, 141% J MATH 110 Worksheet 16 November 24, 2009 For exercises 1-16, evaluate the given quantities assuming that u and v are both in the intervai (0,2) 1 . 1 and cosu = gand smv 2 Z” 10. 11. 12. 13. 14.5 15. 16. sinu (175 “1;”sz :1 ---)[’/3)1 igflzafi/ _; 5M1“; 57". a 5M“ : 2192/3 ’ .7. , Ir 1 {Tr q cosv ("ayzvrs,‘4zvci s (a; 2V r(’/4]2:{ —«> (o; v - A: —’(or\/ / f" 2. , rd tanu 756mm“; Si'hmflojn—d’ {E'MW—rQWZ/Z _._; {£44 (A. 2'32. 1/3 - , 1? tanv hm v: yrnV/(Qg V —a {124 v7 i/q/Wr/q : ix/fi} , ‘1 Ar COS(2u) 5.05990 : ZGJSZw—i 7. 20/301 ”1 :: Z/gl—«i :— "9L1"? l4 — a COS(2U) (05(2‘3 '5' ir'ZSinlv :‘ i—Z (Veg)? 1‘ i-Z/\(, : AC, " I)? _. 4'“ sin(2u) g‘mQu) : 2(oSuLsmL/L: 2(‘1’3’)( 11973) -* C] 1/0’ _ (E 5 (i? sin(2v) SMCLV)‘; Zaosvsrnv : 2(WC/q7(‘/q) , 7‘ /1L /3’ tan(2u) 6'6M(ZM)': 2662mm, : Z {Zfl7 : «ii—{E c #4”: IA tank i~ (2137?— i— 3 tangy) fi‘“ (1")? ELM“ F 2(fr/ir) , z'x’frfif ,, 2’6? 232’" ; 31—1.: FEW” tffifliril ”CK/29;; if 2‘0 9' u cos— ,—~ ,.. (2) '505{“/'b)= 103:3. : W- u/é : 3/3; g “9/9 .w ‘9/23 2. ‘ Z ’ r—fl—r r—”—"""’ E . H H? +€ COS(2) £05 CW1)": W W_ Ar .L M1 ELL c L;——— - i7,“ ~ \i _ 2, «a 1 \ ‘3' q Sin(E) 53.10%): m '; ET ': C; ’7 E: ’— {:31 1 :"Z'j :_ f2): 2 \T i 1 W a 9 " 3 “(5) 5 (mi-— 1:12! L313 ,;__ ’l—r’“ \i 1 \i 2 N 3 ‘1 ’2’ 14,12. .— ‘11" u a ‘i 1 2/; t c L/ ' ” tan (—)Jgo_ (ML) ’/ \- HELL : _L___w_g_.. ‘2, 2 A ”it: 2f» i 7; 14"”! 5 1(7’ LIL y K'- tan(—) , r 4 _ qut’s q 1 ”1'45 2 Lari. (VIII) VKJ" ‘ w " [‘t T suv V41 For exercises 17—32, evaluate the given quantities assuming that u and v are both in the interval ("125’”) 1 1 and sinu = Eand sinv = E' 17. 18. 19. 20. 21. 22. 23. 24. 25. 26. 27. 28. 29. 30. 31. 32. cosu (052W45'l’11‘4 ‘9 .9 (952% *r (Vfltcl —; 5052M: Nit/2’, 4 (mm : dig/5" 7" , -2. :. .'1 \ )122 .-9 7‘ i 3;/ v—g «- -4?§/ cosv (05 VtSu-x v \—‘(05 V¥(/g, i (as v 3; “NV, 6 tan“ ’t‘w‘ U“nu/WSW=('/r)/(~2n/r) = 7 War; 3 “(2 ,2 tan” Jam v = 3w: /(usw—t1‘/c,)/(m"fi/a) : 7' 131’ ; ”gr/3; C05(211) Castle} = V: 363w 7' i- 2 (Vfli = i~ 2”/2r .— 23/2:— Cos(2v) (offiZv) z i-‘ZSMLV 2 if 10/9?” : i- 2/35 : ans/35 , iat/lg Sin(2u) SM (in) = 2(05l/L5’r'nw 1'2(~1fi/§)(\/{> -; "Lifl'fzf _ 1 '7' 1 a??? sin(2v) s7; (2v) 1 nasarw ‘2 (”34¢de , “”55. /13 1 ; A?» , ,_ AWL/i?— », MHZ/(a —_ 2491” tam“) WW 3:62. a ELLE-11 7 777,7“ 7;?" "2.3 \rtmh- VC—‘Ehfl P Aw AW tan(2v) 1a” {2v}? qlwmv 1(_Jg?/3;) 1 ~ 25:} _ Egg : ”fig—6,. —-——-—-—- 2 fl ,_,__.___ Hem! \_ (“@1ng 35 “"70 P}— E r—-—-—‘—""" r'———‘—‘—‘ COS(2) toSf‘Afla) —: (oinxi’l _ i(,1fi,/§'>¥1 : \I_ZD(6 {'5'0 M , 7_________ a, \i 2. \v ““3 7—77 "TM 7 7; +12: 2 WWW—L) 7— (3933' (a\€(/&> H : !ji-JE—L— :1 21 \O 1 L V V21 (5 5W) ”7—7: , 77.75;? 2 5131("719: Lil—‘33” j \“ ("112’”) _ Ed...” “5’0 ‘ h 2 2 \ IT) lo ,.__r—-———- r—f—"J—d f M ' V ' (— '7— . . (’— sm (5) SMCVIIZ) c M __ 1— eBay/o) 2 J 6’31654 N 13;, zflgg— 2. \“ 3’ 1-2, 7;) 3 , (I tan (2 11,an (“/2) ”‘ 1"(05‘4- _ \“C’lVG/i") — 53‘2““; 75’: c 5 +2, 5W» V9“ 6’ tan 3) (d4) c.1437” (a cé‘r‘fz’? 2 45;. ML) , Wag“ i‘(‘ 5 7 .-— ...
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