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Mac1114 Exam 2

Mac1114 Exam 2 - MAC1114 004 TEST 2(VERSION A NAME)1 L T...

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Unformatted text preview: MAC1114 004 TEST 2 (VERSION A) NAME: )1 L; T! ON 5 Calculators are NOT permitted. Time allowed is 50 min. You may write on the test. Part 1: In questions 1-7, find the exact value of the given expression. Each question is worth 6 points. Correct answers will get full credit, incorrect answers will get no credit. 1) cos'1[- 1) ____y A) - g B) - g C) 3373 D) L667}— 2) tan‘1(—«/—3_) ‘ 2) 3) csc‘1(2) ’ I 3) A) - % B) 265 C) % D) g 4) sin‘1[sin 4) A) % B) 3671 C) - ~21 D) 56—” 5) cos‘1[c05[- 5) A)7_TI my. C -2_n D)_3_7l 6) sin(sin'1 1.3) ' '6) A) 0.3 B) -1.3 C) 1.3 D) not defined 7) cos 50° cos 10° — sin 50° sin 10° 7) 1 A) I B) «E C) D) § NIH MAC1140 001 TEST 2 (VERSION A) CONT. Part 2: In questions 8—13, solve the problem. Each question is worth 6 points. Correct answers will get full credit. If you show your work clearly, you may also get partial credit even if your answer is incorrect. 10) Solve the following equation for "x": 4 cos‘1(5x) = n 10) ,1 w _5«/5 _«/E ‘— AIM—E -, ,7 C)x— 2 ‘D)X-—10- Liv cos-K50: 7E Cog‘LSX): ‘7‘}: 5X : MAC1140 001 TEST 2 (VERSION A) CONT. 11) Which of the following is identically equal to: sin 6 7 11) A) sin (e +%) B) sin (e - 123) C) cos (a - 321) D) cos (e +%) @g(9-%‘> : cosflm- 003.07%”) + SECS)- sin = 005(9). 0 + sin(9)- :L = Sin<9> , 12) Which of the following is identically equal to: (cos 6)(cot 6 sin 6 - tan 6 in 9 ? 12) A) 1 V B) 0 C) sin(26) D) cos(26) @59)'(co’c8.sin9- tong 3&8) = (wse),<::::_ ~ __ me fine) case . Migwww \ z Sm 2' - 0059 — @05 Q ’ Lose) \ ,2. :2 0058 -- 8m 6 = c.0518” - solo : cosClG) 13) Which of the following is identically equal to: 19 + tan 9 13) A) 1 B) sec (6) C) sir12(6) D) cos (9) + sin (9) [:3 l m 005(9) )6 (e) _ c059 + s‘me = 6059 - nose + sing » (“9%) 4+ Sade) + a“ ‘ 4+ we case (was). we 0°59 Lame) 2 ‘ K \ 7.8, cos 9 5m9+ 5“) : + \ g (4*gmax'cosg (i-FSMB’) cos cog—8' + 5339+ S‘ma : ifm : 49 : 5&9, : (M she) - cosa- {*9 cos 3 MAC1140 001 TEST 2 (VERSION A) CONT. Part 3: In questions 14-15 you MUST show your work clearly. Correct answers without solution will get no credit. Question 14 is worth 12 points. Question 15 is worth 20 points. 14) Find the exact value of the following expressions: (I) sin (75°) (II) cos (75°) (III) tan (75°) (TL) slut-r53 = sinC4S°+ 30°) : 346510586) + meats)- 5%(35) ii, £3. + «‘7: 4 .——p 2 1—5: —— + 2. (6‘ £2: “3‘7 " Lr —. (TL) cosh?) '— c0445“ +36) 2 @365). Castes) — was) - gm (30°) _ W (1-3.; ‘ "2:" :L 2- 9— \(‘E‘ (7: _ W—fi = "7+"? ' 1+- , 5\n(7‘5°) ‘9 EH “3+5 % )2 cos (WSG) ~ /L( V?” Z 7. z V's—Ni _ Mama) (We’er JV“ +1'fi‘fi[email protected] {:43 " («may — GENE-‘5 ‘ (mt—(m? 1% Q T lfi‘fi-‘E + Z w ff: —.-. Wfl = H MAC1140 001 TEST 2 (VERSION A) CONT. 15) Given that sin(a) = —:-, ~275- < a < n ; cos(fi) = - -:—, n < B < 327:, find the exact value of the following expressions: (1) sin (a + B) (II) cos (a - [3) ' (III) cos (200 (IV) sin ( I3) E" 04 is in almimic “I. $9, x:—‘+ “amend, CcSCd)=——:% % ‘5 fix IE i—i— X:—L “:2 l r .L _ _+\J—3‘ (453% :93- $1+~§:” i g =3 9 6;“ ’ (\e a ‘x/e- is 7n Civazirdnl? 11") E‘em'g’he' {ssofagz-Vg 5 9— 3 lo 2 W5 -3 \ ' \ \ A. J” -29)— Clasld’fi); assidlcasfi) —\— SmLOO- SmGZD =l~§=> +<S ( %_ ‘—'— 7H; - 3%: l; Li ‘0 3 ’ Z lé 3'?— “ 3'2— ._2=E§_: l 31) “41°43 = 2- 503% -i = 1H5)“ 1 : 2’3?“L=E?”i "E 25 2c; 5mm \%<>°< 13<930°, Azuxchné b6 :1, w; (152: % <3: < as". \ .. \ 0AA so Si g T {FEW/Q- Tlnere-Qre/ if: u \t\ fluaCiFw/x't 1". n( > S xFo ‘ k§)_ «we» = 14-3) ___ W: = .2. __3_:_V_3__:£ S‘U’ 2 9. 2. T ‘4 W 1 ...
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