26e1fa07

# 26e1fa07 - MATH 26 Exam I PAGE 2 1 Which one of the...

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Unformatted text preview: MATH 26 Exam I PAGE 2 1. Which one of the followin g triples could possibly represent three sides of a right tri- angle? a) (1,2,3) b) (2,3,4) C) (3,4,5) d) (4, 5, 6) e) (5, 6. 7) 2. FindrifAB=4andAD=8. a)6 b)8 :2) V5 (1)4 e) 2V5 Page 2 . Find sin 6 if 9 is in Q1 and tam? -—= ﬁlm 3 a g a wlﬂhplmwlmmlﬁmlw (D V . Find cscS ifsinB > Oand c0136 = ——2‘ Page 3 PAGE 3 MATH 26 Exam I PAGE 4 6. Find 3, if 0° < (9 < 360" and sect? = —2 with 9 in Q11. 21) 60° b) 120° c) 135° d) 150" e) 240° 7. Simplify tan 9 + cot t9 . a) sec!) vcscﬂ b) sinB - (:ch c) sin6-cosﬂ d) tan9 - 001319 e) secﬁ - 0039 8. Find sec 45° . a)-1— \/§ b)—x/§ c)\/§ 3 a); 2 E)E Page 4 MATH 26 Exam I PAGE 5 9. Use the information given in the diagram below to find AA . a) 90° b) 60" c) 45° d) 30° e) 20° 10. Suppose there is an escalator that lifts pe0ple a vertical distance of 100 feet, while making an angle of 30° with the ground floor. Find the length of this escalator (in ft). a) 200 b) 50 c) 100%? d) 100\/§ 100 E) E Page 5 MATH 26 Exam I PAGE 6 11. Find the exact value of cot 210° . 12. Find 61f 0° < 9 < 360°, sint? = —12-§ and 9 is in QIV. a) —30° b) —00° (1) 300° d) 315° e) 330° 13. Find the degree measure of Eli; . a) 45° b) 75° c) 80° (1) 150° e) 180° Page 6 MATH 26 Exam I PAGE 7 14. Find sink?) . \/§ a)—-— 2 my; \/§ C)'-2— 2 d)—:-3- 1 E)§ 15. Find all values of 6 between 0 and 2% for which cos 6 - E 2 . Page 7 MATH 26 Exam I PAGE 8 7r 16. A sector of area 5 is formed by a central angle of 45°, what is the radius of the circle ? a)2 33 k. 8: CO H QIHEI‘ (D V 17. Find the angular velocity associated with 33::- rpm . 1007f 3 2001 b) -—3— rad/min c) 200 rad/min 51) rad/min d)1001r rad/min e) %9 Tad/min 18. Find the diagonal of a square whose sides are equal to 2 . a) \/§ b) Ni c) 4 d) Mi e)l Page 8 MATH 26 Exam I PAGE 9 19. A right triangle AABC has £0 = 90", b = 5, c 2 13. Find 5111A. 5 a)ﬁ 13 b__ )5 12 c) E 13 IE 5 E d) e) 20. Indicate the quadrant in which the terminal side of 6‘ must lie to guarantee that sinéJ < Oand (3306 > 0. a) QI b) QII c) QIII d) QIV 8) None of the above Key: CAEAB BACDA DCBBC ABBCE Page 9 ...
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## This note was uploaded on 04/02/2008 for the course MATH 026 taught by Professor Desesa,blaisephi during the Fall '08 term at Penn State.

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26e1fa07 - MATH 26 Exam I PAGE 2 1 Which one of the...

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