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Unformatted text preview: Math 120 Trig Summer 2005 Name: ELMO!”
Exam I — Part I No Notes
Closed Book No Calculators l. Fillin the following table with exact values. Note: If a certain entry is undeﬁned,
insert “undef.” in the corresponding box. (continues on the back) 2. Fillin the following table: 1. Convert 15° to radians. EXpress your answer as a multiple of 71'. 057%») = [:9 2. Convert the angle 7, in radians, to degrees. 7:35." (50" «r:
(a) ﬁ— 3. Evaluate the following exactly: a. sin[3—:)+tan(ﬂ) a a! 4— D a b. 25in[—54£]+3tan :3  E L( c. sec(7r)+csc[—3gr) : IL... 4» ,J— = " 2.
—t “l
4. If 7:303:27: and cos€=—:—, then ﬁnd cot6.
3 2‘ "*
1: (0529A .SIiaLS =C'v3) *5“ 5
‘1
“L .. (,4 "‘ S = d: ——
8 “ a '9 5”
77 54». I; g
 a ,1:
9 (K fuééww‘k 3 =3” 5‘“  5
3/5
2 6 : ’—— 2
~4I; 5. Exactly evaluate the following: a. 1 + 1 =(os”7’0'* 519910“ sec2 40° csc2 40° Cgkaauv 555$ = \)
sin(—20°) o .. O
memormm v —————— 4— mm") = o 4050—0") OLA/(756L VMZ>A 3‘a°/ *! I309) .15 L77:  ' ﬂ —[email protected]
c. sec[18]cos(18) .. f" (45 /e) 6. Find the following for the graph of y = Zoos x) .a.‘ Amplitude= ’1’ '1‘ Q) / 7. tﬂ" ..
b. Period= g = ’7 ~ 4W
(’3) 7. Give an equation for a sine function that has the following characteristics: 0 Amliudeis3 ,_ a ..
t o PeriIodtistrr. [:7 ' A o Phasesh1ﬁ1s2 a ﬁzi}
Varmé ﬂ‘ﬂ g) “2:1
L.) 8. If we sweep out an angle 0 6 = 120° in a circle of radius r = 3 meters, then write expressions for a. the length of the subtended arc, and 
2.1V '—
5 = r‘ 6 = 3 ( 3) = b. the area of the corresponding sector A: gin—e: Illaway = arm” 9. If sin0 < 0 and cos 6 > 0, then. the'angle (9 lies in which quadrant? :II 10. If cos 0 < 0 and tan 0 > 0, then the angle (9 lies' in which quadrant? £171 11. Rapid City has a latitude of 44° 3' (north of the equator). Directly south of Rapid
City the Nebraska border has a latitude of 43° (north of the equator). Write an expression for the distance, in miles, from Rapid City to the Nebraska border (“as the
crow ﬂies”). Assume that the Earth has a radius of 3,960 miles. 0 7.703lﬂqu a /°3’='(/+6’35 D=</+i)(%a) 12. Give a formula for the period of
y=Atan(cox)+B z" ‘ Explain your reasoning. Note: While this was not speciﬁcally discussed in class, you
have the tools you need to do this! 13. The graph of g(x), where g(x) = f (x  c), is obtained by shifting the graph off. . . (choose one) to the right by c b. to the left by c
c. up by c
(1. down by c 14. The graph of g(x), where g(x) = f (x) + c,
is obtained by shifting the graph of f . . . (choose one) a. to the right by c
b. to the leﬁ by c @ up by c
. down by c 15. Match the graphs below to one of the following functions a. y=—tanx ﬂ'
b. =tan x+—
y l 2) Choice b c 16. Find functions which match the graphs below. (More than one answer is possible in
each case.) 3. Matching Function ecfwéz) Matching Function ,7: PC) (mansw> ...
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 Summer '05
 JOHNSON
 Trigonometry

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