12-12+++PC+S1+Final+MC+Review+#2
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School
De Anza College**We aren't endorsed by this school
Course
MATH 41
Subject
Electrical Engineering
Date
Jan 8, 2025
Pages
3
Uploaded by AdmiralCoyoteMaster648
Semester 1 Final Exam Review #2 Name:_____________________________ Pd:____ Unit 2-3 (6.1 –6.6) Continued 15. Which is the graph for? = 2 cos (? +𝜋2) − 1? E. None of these 16. Find the amplitude, period, and phase shift of the following: ? = −2 sin(3(? −𝜋3)).A) amplitude: −2, period: 2𝜋, and phase shift: 𝜋3B) amplitude: 2, period: 2𝜋3, and phase shift: 𝜋3C) amplitude: 2, period: 2𝜋, and phase shift: 𝜋3D) amplitude: 2, period: 2𝜋3, and phase shift: −𝜋3E) None of these 17. Which is the equation for the given graph? 18. Which is the graph for? = tan(2?) + 2? A) B) C) D) E) A) ? = 3?𝑖?(2?)B) ? = −3?𝑖? (𝑥2)C) ? = −3?𝑖?(2?)D) ? = 3?𝑖? (𝑥2)E) None of the these
Unit 4 (7.1 –7.4) 19. Find the exact value of ???−1(??? (7𝜋4)). A. 7𝜋4B. 𝜋4C. 3𝜋4D. −𝜋4E. None of the above 20. Which of the following equals 𝑐𝑜?𝜃𝑐𝑜?𝜃𝑐?𝑐2𝜃𝑐?𝑐𝜃?A. ???2𝜃???2𝜃B. ???2𝜃C. (1 + ?𝑖?2𝜃)(1 − ???2𝜃)D. ???2𝜃E. None of these21. Find the exact value of the expression. ???−1(???4𝜋5)A. 2𝜋5B. 𝜋5C. 4𝜋5D. −𝜋5E. None of these 22. Find all solutions on the interval 0 ≤ ? < 2𝜋. ?𝑎???𝑖?2? = 2?𝑎??A. {0, 𝜋}B. {0, 𝜋, 2𝜋}C. {0,𝜋4,3𝜋4} D. {𝜋4,3𝜋4}E. {0,𝜋4, 𝜋,5𝜋4}23. Find all solutions on the interval 0 ≤ ? < 2𝜋. 2 + ???2𝜃 + 3???𝜃 = ?𝑖?2𝜃A. {2𝜋3, 𝜋,4𝜋3}B. {𝜋,11𝜋6}C. { 𝜋2,7𝜋6,11𝜋6} D. {𝜋3,2𝜋3, 𝜋}E. None of these 24. The range for y = csc-1x is A) [-1, 1] B) (-, -1] [1, ) C) [−𝜋2,𝜋2]D) [0, −𝜋2) ( 𝜋2,]E) None of these 25. If sin(−?) =57then ?𝑖?(?)equals A. 57B. 45.58C. −45.58D. −57E. ?????𝑖???26. Find all solutions on the interval 0 ≤ ? < 2𝜋. -3cot2+ 1 = 0 A) 𝜋3 , 5𝜋3B) 𝜋6 , 11𝜋6C) 𝜋3 ,2𝜋3 ,4𝜋3 5𝜋3D) 𝜋6 , 5𝜋6,7𝜋6,11𝜋6E) None of these 27. Find the exact value of csc[?𝑎?−1(−83)]. A. −√738B. −3√7373C. 3√7373D. √733E. None of these 28. Which of the following graphs is = ???−1?? A) B) C) D) E) None of these