26e1fa06

26e1fa06 - MATH 26 EXAM I FORM A 1 Supposv ABC is a right...

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Unformatted text preview: MATH 26 EXAM I, FORM A 1. Supposv ABC is a right triangle with C = 90°. Ifa = 12 and c = 15, find :5. a) b) C) (l) e) 2. Find a: so the distance between (.13. 4) and (1. 7) is V13. a.) h) c) d) e) 3. Indicate the quadrants in which the terminal side of 8 must lie in order that. cos 9 is negative and tang is negative. 9) 4. Find 511119 and taut? if the terminal side of 6 lies along the line y=—2I a) b) 13:9 b=4 b=15 b=12 b: cr=7l,3 .1:=1,3 :r:71,—3 3322—3 r=l.73 none of the above in quadrant. IV. 2 sir]6=—*\/—g,tan6:-2 5 sin6=72¢31tan6=2 2 5 sin8: \/—,tanl9:ﬁl 5 ‘2 E" sinﬂ: 2J3Janﬂ= 1 a 2 5 sin6=— [Janﬁzl 5 2 ﬂ FALL 2006 5. Find cost? if sin!) = ? and 0 terminates in quadrant I. a) b) 7. Simplify sec 0 ﬂ tan 651110. a) c056 = c036 = cost) = c059 : £059 2 4 0 ifcoté’: —E and sinﬂ >0. mm? = L‘ch = c506: csc 9 : csc6 = sin 6 cost? rem NI ml tow—- a s 0-310! CHIN 43m: b) sin 19 cos 0 <') d) e) 8. Simplify cos ,8 cot {i + sin ,6. a) b) c) d) 8) 2sin6 cos 9 sin 6 cos :9 MATH 26 EXAM I, FORM A FALL 2006 9. A right triangle ABC has 0 : 900,!) = 10, and c 2 26. Use this 12. An equilateral triangle (one with all sides the same length) has an information to ﬁnd sin(A). altitude of 4J5 inches. Find the length of the Sides. 13 . a) Hin(A) = a a) 4 in. . b) 8 in. 12 b) sin(A) = — 5 c) 6 in. 13 c.) sin(/1)= 29 d) \/§in. 5 9 in. l . ' A = — ( ) 91n( ) 13 e) Sim/1) : E 13. Find the exact value of sin315°. 13 J? 10. For the expression that follows. replace :3 with 30°. and Simplify as a) 7 much as possible. —1951n(2:r) b) E 2 a) —1n\/E C) _ ﬁ 2 17% b) 7*- c IOJE ) \fi 19%? e) “T d) 2 ) lgﬁ 14. Find 6, if 0° < f? < 360°, tanQ : —\/5 and 0 is in quadrant II. L 2 a) 135" ll. The circle in the ﬁgure has a radius: of r and center at C. The distance from A to B is 31. b) 1000 c} 120° cl) 125° 6) 150° 15. Find the radian measure of angle 6, if 6' is a central angle in a Circle . 1 . l of radius ﬁcm, and 0 cuts off an arc of length gem. n) 3 1 b) j a c) 7r [f A : 30D and ‘1' = 14. ﬁnd m. 3 d) 5 a) 11 ..) 1 b) s ' 3 c) 9 d) 10 e) 14 MATH 26 EXAM I, FORM A FALL 2005 ‘ .1 : . o , - - . 1 16' C'mw‘ rt 0 \$10 to “lde measure usmg exalt values‘ 20. Find the angular velocity associated with 33-5 rpm‘ 317T 7 100 a) 18 a) W rad/min 117T — 200 b) g b) Tr rad/min 6) n?” c) 200 rad/min 31w d) 100% rad/min cl) 2 100 e k ad min 1677 l 3 r / e) — 9 17. Fmd all values of 6 between 0 and 27r for whlch 51m? = ——?j. 27r 51r 3) +»* 3 3 b) 1“ 3H (J 6 71’ 771' C) T~ —. (j 6 d) 4—77, 3 3 71' 21'? 8) -,ﬁ 3 3 18. Find all values of .6 between 0° and 360° satisfying the statement Sint = 7 (:05 t. a) 1359.310o b) 140°,3ln° c) 145% 145° (1) 1400,315o e) 135°.315° 19. If 9 = I: is a central angle that cuts off and an: of length .9 2 7T cm, ﬁnd the radius of the clrr‘lt—L a) 12.1 mm b) 14 cm 6) 12 cm d) 11 cm e) 9 cm FALL 06 MATH 026 EXAM 1 b ITEM NO. FORM: DOMJChU'EﬂE-UJMH H O mnmuwunuwmmmomwuwuww ...
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