Mac1114 Quiz 4

Mac1114 Quiz 4 - MAC1114 004 QUIZ 4(TAKE-HOME DUE 9:59 AM...

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Unformatted text preview: MAC1114 004 QUIZ 4 (TAKE-HOME) DUE 02/19/2010, 9:59 AM NAME: S9) )5? l O N § Questions 1-3 are worth 5 points each. Question 4 is worth 7 points. 1) Establish the identity: (sin x)(tan x cos x- cot x cos x)— — 1- 2 cos 2 x. Show your work clearly. (smxX‘Eomxcosx _.¢o£x aux): (sinx) (Es—m: 96a -- “3‘s" (3&st sums. My WE dimer: six emits \ “3 t. . : (Sax) smx - . :2 sknx- sum as M- WW .3m x W x _ 4% ,3, : 33%;}; u- mszx fi<1m mfg!) m mass. .34. 2 4% legs x 2) Establish the identity: M = csc G cot 6. Show your work clearly. tan 6 + srnO 4 + we, W csce+mw 3‘09 - we _, ’ m mwmwmwxsw «macaw-5W” — ..- v" " sinfi” _______sm9' + ”LBS pose’ T V 33 fi 9’ ($er «3%» 3&9 c.0593 El ..... 4 6.03.9“ ~¢sc9¢n1=9 o w a" 5‘09“ L 55 09 3) Which of the following a; identically equal to sin(6) ? (I) sin(9 + n) (11) sin('rt - e) III)-sin(6 + 11) (IV) co{e + 125] MAC1114 004 ‘ QUIZ 4 4) Given that mm) = - 1—3, tan(a) > 0; tan(B) = - “22/33, % < B < 7:, find cos (a + [3). Show your work clearly. s‘xnm 0.35%) $in(o() is. maafive,. WCSX) : {s Postve - WerePorel cosCoO §s neaalcive, (d is in quaérw'g III) %~ _. 1 -_ 2 an(0$)=—%.—=__\l§_. Choose. a- \l, P \3 7' 7' (-031— \3 x >< +3 :r . x + .. , r Xl+\Lb-Ll-=|$q . xl=|6qfill+LF =25- (X/g) 50 :+5 Shae. 0< is \m ciuacxroo'k TEE) X {s I — A he. a—Eve, 0( 5 So, Xz—S CO3<°Q= —XY‘—-::i—Z —7:C—<E><7E. 50, E {5% fiqumnl: I]: 30, )K \Es nficfifive, E 8“,. $05! ve. SO, CosCOH—E) : 005%) 314$) ——- s‘mCoO- ski?) =L—i\-(:—E—> <——-— «a —-—- :35 + —-=- \3 ...
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