University:
Central Michigan University
Course:
MTH 101 | Elementary Algebra
Academic year:

2024
Views:

146

Pages:

19
Author:

Rayne Leonard

Algebra 2 CP CHAPTER 13-TRIGONOMETRY FINAL EXAM REVIEW Name (Key Note: always round sides to the nearest tenth and angles to the nearest degree. Find the values of the six trigonometric functions for angle 8. 1. 51 24²+45x2 2601=x² 45 512x 24 45 1. sin)=15/17 24 COS08/17 45 15 Tan 24 esco 17/15 seco 17/8 352 cote 8/15 2. 3+x²= (35) 2 2 sine 53/3 3 0 9+x=27 ما که 3√3 cose x²=18 tan 52/2 X=352 in: 3/353/53 3/3 08:352/25352/53= 50/3 can 3/352/52= √2/2 Write an equation involving sin, cos, or tan that can be used to find x, then solve. 3 2 I 1 30 7 X = seco 56/2 cot 0 √2 √3 3. 753/3 X√3=7 x=7/53753/3 4 14.8 49 6 A tan 49: 17 Xtan49:17 tan 49 ten 49 ; x=14.78 5. 19.2 A 17 tanx = 19.2 17 tan"(1)=x X=48.47779 5. 48.5° Solve AABC by using the given measurements. 6. A-35°.a=12 tan 55: /12 7. b 52, 95 A 95²= a²+52² 6. B= 55 35 b b= 12 tan 55 6-17.1 95 a-6321 b= 17.1 52 a=79.5 C= 20.9 55 C 12г B sinas: 문 12 Csin35:12 C:20.92 Draw an angle with the given measure in standard position. 8. 210° ५० C 79.5 B SinB = 5395 Sin" (52/95)=B 7. a= 79.5 A= 57° 33.19 B= 33° 9. 560° -560" -270 180 0,360 540,-180 -360 210 274 Rewrite each degree measure in radians and each radian measure in degrees. 10.-18°/180 /10 11. 870 /180 29/ -90-450 10 -/10 297 11. 12.5.180 = 450 2 7π 13. 180 12 =-105° T 12. 450° 13. -105° Find one angle with positive measure and one angle with negative measure coterminal with each angle. 2π 5 14. 80° 360° : 440° -280 10 15. 12π 5. 8 14.440°, -280° 15. 5 5元 12 16-93° ±360 267° 17. = 16 267-453 12 12 2916 12 197 17. 12 -29 12 + -453" Find the reference angle for the angle with the given measure. 18.-210° -210 19 13元 3 13/5 18. 30° 19. /3 25 y= x²-2x+1 x+2 -7-12.8 10 -5 -12 -3-16 L Vertical Asymptote X=-2 -1 4 0 .5 1 Horizontal Asymptote: Nove Domain: (-2) (-2,00) Range: (00-12] [0,00) 1 2 y-int: (0,2) 2x²-2x+1 0 4 1.5 (x-1)(x-1)=0 4.02-2(0)-1 2 X=1 CHAPTER 12-SEQUENCES AND SERIES Write a rule for the nth term of the arithmetic sequence. 1. 8, 5, 2, -1, -4, ... 9,8 d-3 an=8+(n-1x-3) 54-4-49; =8-3n+3 2. d-7, 08 54 54:0, +(8-1X7) a=5 279,36 An--3n+11 an: 5+(n-1(7) = 5+7-7 An=7n-2 Find the sum of the series. (7+7) neithe 4. 4,12+78 02-2+7=11 A3+32+7=16 133 Q4=42+7-23 25:5²+7:32 9-627:43 7 5. ∑(10-4n) 2 arithmet c 7=6-2+1=5 a= 10-4(2)=2 427d; d=6 3. 27,21-69 1. An=-3n+11 2a=7n-2 69:9,106) 9,393. an=6n+3 an=9+(n-1)6 An-9+67-6 an=6n+3 17 6. " arithmetic 4. 133 -17-1-1-17 5. -30 9,1 4,717 -30 2+14 S=5(2) 153 153 7. 285 1-22-11-22 B. -403 a=10-4(6)= -14 26 (25-30) arithmesbg . (3+21) arithmera (61-5) n-15-1+1=15 a,=3+2(1)=5 26-141-26 4,-25-3(1)=22 22:25-3/26)=-53 3+2(15) 33 922-6(22)-5=127 1408 5+33 Sis-15(53) = 285 22+-53 S=26(220) =-403 S2=22(127) = 1408

Math Algebra 2 Final Review Key

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