26e2fa07 - MATH 026 EXAM II, FORM A FALL 2007’ 1‘ Find...

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Unformatted text preview: MATH 026 EXAM II, FORM A FALL 2007’ 1‘ Find the Period 0r 3! = 49-03(53)- 3. Identify the graph of one complete cycle of y = sin(1‘r.:c + a) 5 5 b _ ) 271' 4 L) E 21r 5 e) E x. . A . ‘ 7 2. 1‘ 1nd the amphtudc and phase shift 0f1 = —3 5111(213 — . . . 7 a) Amphtude = -3: Phase Shlft = —E 14 b) Amplitude = ,3, Phase Shift = l , . 271' u) Amphtude = 3, Phase Shlfc = 3 . r ‘ . 7 d) Amph’mde = 3, Phase bluff. = J , 7 c) Amplitude : 3, Phase Shlft = fig MATH. 026 4. Which of the following equations corresponds to the graph shown below. 2 y = —2 (303032: —- 2) y = —2 cos(51ra: — 27:) y = 2cos{2mr — 511-} y = 2c03(51' — 271'} y = 2cos(2:r. — 5) U'IIN- EXAM 11, FORM A U'Ilsb FALL 2007 5. Which of the following is the graph of y = 2cos(—z + 2)‘ MATH 026 EXAM ll, FORM A FALL 2007 5V Evahmte sec < Eilfil 9. Which of the following is no.5 a. solution to sin2 (0) — 3 (3052 (6) = O: 3 ,n. 2 a} — — 3 a) 3 2 b) 2 b) F“ J3 31W \/g C) y C) ? 4 3 d) I d) _ 3 fl e) 571' J3 3 e) ~— 3 10. Find all solutions to cos(2x) cos(;i:) + sin(2m)sin(r) : l for 0 g 7‘ Which of the following equations corresponds to the graph shown 9<27T 2 below. ' 1 4 a) 0, .3 :3 11' 577 1;. _ _ —1 ) 3’ 3 17 71' -2 0 1' § 371' 471' _ l _, __ 3 El 4 3 '4 e) 4—”, 3 3 -5 1 — sin“(9) 11. S' H — [mp ] Y 1 + $11120?) a) y = 3cos(7:c) — 2 2” a) sin2 (0) b) y = —5cos(~7—J:) b) c0820?) c) y =6cos(2?wx) 7‘2 c) tangm) d cl) y=6cos(Z-J:—2) ) l 7 e) csc2(6) e) y = 3 cos(w — 2) cos(1‘) + 1 12. Simplify :L' 8. Simplify the expression 3 |cos(9)| if 9 = sin—1 A cot(m) a) cse(:c) + cot(a:) d) —V 9 — 1'2 b) SMILE) + 0012(23) b) J9 — .132 c) sln(:i:) + tan(fl:) c 112 -v } ‘/ 9 (1) 005(1) + tan(:r.) d) e) sec(r) + tan(q:) l e) 9 _ T MATH 026 EXAM II, FORM A FALL 2007 _ - o 3 13' EV"l“ate “(105 ) 17. If 605(A) = Z and A 5 Q1, find sin a) fi 3x5 2 a) “s— b) Jig-4+3 b) 8 c) frfi m 4 C) T d) "LT/5 «1) —£ 4 c) g e) “2 4 14, Find an equivalent expression for sin(7:r) 005(5w) — 1305(7r) sin(5m) 1 _ I t ' ‘1 — 18 Eva 11a 9 cos (2 cos a) sin(22:) 3 a) — b) cos(2:c) 5 C) siILUZm) [3) _g d) cos(123:) 4 C __ e) —sin(2:r) ) 5 d) —§ 15. If tan(9) = -—2 and 6 e Q11 find tan(26) 2 e _ 2 ) x/E a) r— 3 2 19. Solve 25511109) — x/‘E = 0 for 0 g 6<27r b} — '3 7r 371' c) —4 a) E, 71“ 4 d) 7 b 3 5—71- .5 ) 4‘ 4 4 __ 371' 511‘ e) 3 C) T’ I 1 d) 511‘ 711' 16. If sin(A) : r}; and A E QHI find Ein(2A) 4 ’ 4 e) No solution a) —-:—2 b) 20. Solve 2.9111(3) =sin(2:r) for 0 £0<27r 16 37: 51¢ a — 15 a) 4’ 4 4 1r Sr 15 M Z) I d) — 8 c) 0,77 15 e) d I 71 11—“ 8 ) 2’ 6‘ 16 6!) All I in the interva! satisfy the equation Math_26_Exam_II.key EXAM II~ FORM A l. D 2. D 3. A 4. B 5. E 6. D 7. A 8. B 9. C 10. B 11. B 12. C 13. D 14. A 15 D 16 E 17. E 18. B 19. A 20. C Page 1 ...
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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 Pennsylvania State University, University Park.

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26e2fa07 - MATH 026 EXAM II, FORM A FALL 2007’ 1‘ Find...

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