29_20111007fri_calc2_94159_f11

29_20111007fri_calc2_94159_f11 - FALL 20“ CALC 11: 29...

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Unformatted text preview: FALL 20“ CALC 11: 29 Fri.K>.O.H MAC2312-94lb‘9 21/29§‘w‘e"”£5‘ /8.41 TH . Iw‘e rah. ( _5c,5) : [EM —- Cwered Yeslcrdau. C396 9. Tige’l. ~ Similaer C8561. (See her} Page), LU Prehm. Trig Renata. V LE! _3""2t .+.._coszt = 1 (3+. ID) Cos (2t) = 7 El 5"" (AiB): sinAcosBiasAsm B 4‘ cos(A£B)= CosAcosB‘I-TS‘MAQ‘MB l \{I, \ \n _, I 1/ ;,.Q~O‘c : COSZ-t __ Sinzt //l .3 C053: (OszE—C‘—C°5215> = Zaszt — I 0.0 Zwsz‘E-l 1‘ C05 # Sake £0? 2 o‘. ZCDSZIQ ‘= l+cos2t COS t 4 m Aka. ’Fr'om {The ny. ID. (265‘2 t = |~$Mzt. s. (Los(2£-)= aft—s:th _ I =. a —sin‘£) — srnzt = :- 2st£ ' I. C05 1* =‘ I— 239315 (9409 PM s‘mz'fl 1'1 29th:": = l" as shat. = g. ( t - (.65 2+.) (ML) The“ 00'!“ help (u C396 111'. (Lone. n. 2 [2] case 2, f sinmx as"): a; wth m even. é- nodd. h=2k+l u ‘ 21m k 2 as 2.: Cos 25 rag xas‘z k =- asux cosx =(C632x7 “gr 1' . 3 La Examgle f 5014): as *1 dz 6 .4 2 so"! f$fnqx c3533;ch = f5!" x 055 X as! 9 ‘2 = .- z = Ism4x( l-smx)cnsxdx LeZK—JZLJZ 6 l 5 C 7' l '5 I -7 I z. “a. ____u_ + = —-—Sm1-——$m “Ma—*— (w_—_. C8963: Ba“. m,n even. Isinmx cosnx clx I Here is where we use. ' I again = g: (l 4; cos(zz)> sinz'x: i— (l- («(00) (fl Examgle 1. fuszxsinzx dz gel” f cost sian dx = fifC 14-05(21)) (I -¢~9(zz)) dz = — affix» obi. =- #fsiszndz I —.—%5’-’2—(l - cos(4x))dx = %;(l"“5 (4%)) 47‘ E Examp‘e Q. ‘ i S1 sinzvt C4594): dz 9 Se.le CA‘LCME/ fsinlst4xdx = f(é(f_asu)) (Ji(“_a$2z))zdz Fm. @ ,3 ‘ A M = 7;— FO —cos(zx)) (Mamas): Ax GA‘B>CA+B)(A+B\ ’ , ‘ =¢4=v —8=> «+63 = A‘a—AzB-BzA 45: = A." +A’B -A3245 N = é—fo H.422) — 6.652(22) — assczn) 41 ‘ o a eh.) e+c., efc. (Canjomfi‘nésk film‘s? Mi______—_~. E E W”! / It XUM'Q- -"' )' é" Look ZCASZ(41) = (+Co5<8 I #5a 3‘? my I'M'egrand (oaks M49 Jm ‘ for examyle) Hm: .I can re-er'e He lhfegmnd as J? as (4x) 3 ‘3‘“. IV (+ascex5'ax = J? fuse/2M2: = J: 3301(4)“ + C ,‘L,_______~. i ‘ 2:1 _ 3% Class Check Example I-CC (:2: (I! Resulé: faszxsinzx chm :7 [1- 5‘"€:1)]+C '. _ >64") IflCheck f;{8f[x_ 5M4 ]+C} ! I = g. D — as (2.225] = g— [I. (cos‘(zz>— swam = +3 E {- (I—Sinz(zx)—$inz(2233 = «‘8: [231h2(21)j } =7 2';- L—‘sfn2(zz)] 1: 1|? (57Mé1))(5;n i = 2!,“ ( 23/hxaasx>(ZsinI c.9513 -: sinzx a.st = aszz Saxsz i which [5 end/7 Hie (ZrFegrand, Was our Se(wl-tbn checks Q] o’ENDCN ...
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This note was uploaded on 12/30/2011 for the course MAC 2312 taught by Professor Jones during the Fall '11 term at Tallahassee Community College.

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29_20111007fri_calc2_94159_f11 - FALL 20“ CALC 11: 29...

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