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Unformatted text preview: Math 120 Trigonometry Name: ; 01.017 DH) (32 Summer 2005 RWJ Part I: Memory Work (1V0 notes, closed book, no calculator) — 6 minutes 1. (16 pts.) Fillin the table with exact values: 2. (12 pts.) Fillin the table: Function c» .3 cm w
(“90/ 9") Math 120 Trigonometry Name: 2L3! 10F; (.32 Summer 2005 RWJ Part II: Calculator Work (a calculator and one page of notes is allowed) — 15 minutes
Note: F ourdigit accuracy suffices an approximate calculations 3. (12 pts.) Determine the following: a. sin200° ’‘.' 1342;; b. sin200 '33 —,9733
c. sec"3 = (0.5“ (3") d. tan"(2) g ("D—H
1: 1.7.310 4. (16 pts.) This problem concerns the expression 4cos x —105inx.' a. Rewrite this expression as a constant multiple of a sine function. That is, rewrite the
expression as A sin(x + B) for some A and B (tell me what A and B are). Show your work. ~ ‘2.
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b. What is the maximal value of the expression? .497
We ’4‘" “’5"? W7? ’51», c. Give me one value x which maximizes this expression. ./ Div?”
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0 $ 2.76“ Math 120 Trigonometry Name: 2mm”; (52 Summer 2005 RWJ Part III: Work by hand (no calculator, one page of notes only) — each of the remaining
problems is worth 9 points. 5. Give an exact numeric answer for cos(2 sin”l (3/7)).Show your work. 0‘4 05 {29): («151133 4: 3141 .
‘0’ (157“???) = 1— 1C 5.; wrﬂﬁ’ﬁﬂl ’v‘ I '2. (3/7)?" «a ,
= New 22'.
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M/wvn 6. Give an exact numeric answer for tan[tan"(2/ 3) + tan" (6)] . Show your work ’(T’KCol+f)= h«a§+«(1ne
l—zbmot in“? 5+; 4.1» [44»? 5%) 4413(4)] 5" 3 = no 0k (9 P‘éﬂg) 7 7. Write cos(3x) in terms of cos(x) and powers of cos(x) m. Show your work. @ (95(2K’r7c) "' (0517‘ (9)7: — 51:1162 513x H =<1coj‘7c ~I)(of 7C —' C 15';7<C:>J"<)5': X = lcasak—(wx — 2.559% 655% : '2. 6’33“, —cwu< — 2C(Cos"1c) (~52: " ¢40537c  3(w7c 8. Exactly evaluate cos(tan'l (3/7)). Show your work.
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(Ijrj': iii—Cd w 50mm} (B) 9. True/False (circle the correct response in each case). Look at the list of formulas
discussed in class to answer the following questions. No reasoning necessary. @or False: If we know both the value of tana and tan ,6 then we can absolutely
rmine the value of tan(a + ,6). b. True oraﬁjs If we know both the value of cosa and cos ,3 then we can absolutely
determine the value of cos(a + ,6). c’r False: If we know the value of tang then we can absolutely determine the
v u of c0320. J d'r False: If we know the value of cost? then we can absolutely determine the
va ue of cos 26. @ [email protected]‘*P)‘ mxk’f‘w
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aches. 6’519 10. True/False (circle the correct response in each case). No reasoning necessary. a. True or.or all x we have sin'1 (sin x) = x. b @. r False: For all x with —1 .<_ x $1 we have sin(sin'l x) = x. c. @or False: For all x with 0 s x S 7r we have cos"(cosx) = x. d. True 9f 3. the graph of a function has the property that any vertical line cuts
the graph 1 . most one point, then that function has an inverse. A. 6%" (flk'ﬂ’) =t 11', law lﬁ5hm¢
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 Summer '05
 JOHNSON
 Trigonometry

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