trigonometry first periodical 2011-2012

8/4/2019 Trigonometry First Periodical 2011-2012

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GENERAL SANTOS HOPE CHRISTIAN SCHOOLBlock 8, City Heights, General Santos City

FIRST PERIODICAL EXAMINATION

TRIGONOMETRY ITHIRD YEAR A and BSY: 2011 2012

NAME : _______________________ SCORETeacher: ROGELIO B. PONTEJO Date: ___________

.I. Multiple Choice: Choose the correct answer. Write the answer in the space

provided before each item.

_______1. Using common logarithms or natural logarithms and a calculator, evaluate to four decimal

places.

A. 0.6826 B. 1.6667 C. 3.3732 D. 1.4650

_______2.Expand the logarithmic expression using the properties of logarithms.

A. B. C. D.

_______3. Use the properties of logarithms to condense the expression to a single logarithm whose

coefficient is 1.

A. B. C. D.

_______4. Use the properties of logarithms to condense the expression to a single logarithm whose

coefficient is 1.

A. C.

B. D.

_______5. Use a calculator to evaluate the expression to four decimal places. .

A. 0.5405 B. 1.8502 C. 1.7160 D. 0.5119


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______6. Evaluate the expression.

A. 2 B. 2/3 C. D. -2

______7. Express the logarithmic form of the exponential equation.

A. B. C. D.

______8. What is the x-intercept of the function?

A. 1 B. -1 C. 2 D. -2

______9. Find the domain of the logarithmic function in interval notation.

A. B. C. D.

______10. Write the expression as a single logarithm with a coefficient of 1.

A. B. C. D.

______11. Expand the expression and evaluate, if possible.

A. B. C. D.

______12. Solve for x.

A. 1.06 B. 2.92 C. 2.01 D. 3.06

______13. Solve for x.

A. {2/3} B. {5} C. 13/2 D. {-2/3,5}

_______14. Solve for x.

A. {5} B. {-5,1) C. no solution D. {5,-1)


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______15. Identify the graphs of f and g.

A. C.

B. D.

______16. Rewrite as a single logarithm: ln x 2 ln y+ ln z

_______17. What will be the value of x if Logx 3 = 1/3.

A. 18 B. 20 C. 30 D. 27

______18. Solve 4x= 22 to three decimal places.

A. 3.961 B. 5.500 C. 2.230 D. 3.414

______19. Solve 32x-1 = 25.6 to three decimal places.

A. 4.767 B. 1.204 C. 0.739 D. 1.976

______20. Solve 3x+ 4 = 7x- 1 to three decimal places.

A. 1.254 B. 2.397 C. 7.483 D. -1.993

______21. Find the next four terms of the arithmetic sequence 16, 24, 32, . . . .

A. 25, 40, 45, 50 C. 38, 44, 50, 56B. 36, 40, 44, 48 D. 40, 48, 56, 64

______22. Find the 18th term of the sequence where a1 = 3 and d= 7

A. 236 B. 129 C. 119 D. 122


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______23. What are the arithmetic means of the sequence 31, ___, ___, ___, 3?

A. 38, 45, 52 B. 25, 20, 15 C. 28, 29, 12 D. 24, 17, 10

______24. Write an equation for the nth term of the arithmetic sequence 18, 30, 42, 54, 66, . .

A. an = 30n + 6 B. an = 18n + 12 C. n + 18 D. an = 12n + 6

______25. Determine the sum of an arithmetic series where n= 45, a1 = 14.3, and an= 80.3.

A. 2128.5 B. 3627.8 C. 4257 D. 3613.5

______26. What is Sn if a1 = 27.5, d= 1.5, and n= 35?

A. 2152.5 B. 1855 C. 1245 D. 98,175

______27. Find the first three terms of the arithmetic series in which a1 = 6,an= 201, and Sn= 4140.

A. 5, 10, 15 B. 6, 46, 86 C. 6, 25, 40 D. 6, 11, 16

_____28. .

A. 7 + 8 + (-9) + 10; 2 C. 7 + 8 + 9 + 10; 34B. 7 + (-8) + (-9) + (-10); -34 D. 7 8 + 9 10; -2

_____29.

A. 860 B. 430 C. 838.5 D. 820

_____30. Find the next two terms of the geometric sequence 64, -32, 16, -8, .

A. 4, -2 B. 16, -32 C. -4, 2 D. -16, -32

_____31. Write the first four terms of the geometric sequence in which a1 = -3 and r= -4

A. -12, 48, -192 C. 3, 12, 48, 192B. B. -3, -12, -48, -192 D. -3, 12, -48, 192

_____32. What is the fifth term of a geometric sequence ifa1 = 7 and r= 0.2?

A. 1.4 B. 0.0112 C. 5.6 D. 0.28

_____33. Find the sum of the first five terms of the geometric series for whicha1 = 2 and r= 2

A. 14 B. 126 C. 62 D. 30

______34. Determine the sum of the geometric series for which a1 = -486, , and an= -6.

A. -726 B. 325 C. 322.6 D. 732


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______35. Find the sum of the geometric series5, -10, -20, -40, . . . for 7 terms.

A. -635 B. -689 C. -599 D. -527

______36. Identify a1 in a geometric series for which S8 = 42.5 and r= -0.5.

A. B. 63.75 C. 64 D. 1.5

______37. Find the sum of the infinite series 2 + 1 + + . . . . if it exists.

A. 1 B. 4 C. 8 D. does not exist

______38. If it exists, what is the sum of the infinite series: 16 - 4 + 1 - . . . .

A. 20 B. The sum does not exist C. D.

______39.

A. 28 B. the sum does not exist C. D.

______40. Solve 2x+4

= 22x+5

A. -1 B. -2 C. -3 D. -4

______41. Choose the angle measure represented by 4.7 rotations clockwise.

A. 1692 B. -846 C. -1692 D. 846

______42. Choose the angle measure represented by 5.2 rotations counterclockwise.

A. 1872 B. -936 C. 936 D. -1872

______43. Find the measure of the reference angle of -200.

A. 160 B. -200 C. 20 D. 40

______44. Angles are measured from the positive horizontal axis, and the positive

direction is counterclockwise. What are the values of sin and cos inthe 4th quadrant?

A. sin 0 and cos 0 C. sin 0 and cos 0

B. sin 0 and cos 0 D. sin 0 and cos 0

_______45. If sec2 is 5/2, the quantity 1 sin2 is equivalent to

A. 2.5 B. 1.5 C. 0.4 D. 0.6


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______46. The coordinate of P, the point on the terminal side of the angle in the specialposition = 7 which intersect the unit circle, is;

A. (1, 0) B. (0, 1) C. (-1, 0) D. (0, -1 )

______47. Evaluate sin-1 (cos 1800)

A. 45o B. 90o C. -45o D. -90o

______ 48. If = 45o and r = 2 , find sin .

A.2

2B. 2 C. 2 D. 1

______49. If sin = , cosecant is.

A.2

2B. 2 C. 2 D. 1

______ 50. Which of the following relations is not a function?

A. {(3,4), (-1,0), (2,2)} C. {(-1, -6) ,(-6,-1)}B. {(1,2), (3,2) , (5,2), (6,2)} D. {(3,1), (0,1), (3,2)}

II. PROBLEM SOLVING

51 55. The length of the arc of the swing of a pendulum is 120 mm. If the length ofthe arc of each succeeding swing is decreased by 10%, find the total distancethe pendulum travels before it stops.


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56 60. How much money will Raphael have at the end of 5 years if he depositsP15,000.00 at 9% interest compounded quarterly?

61 65. Find the value of x from the series of numbers shown.

x + 3x + 9x + 27x + . . . + 729x = 3279

Science can purify religion from error and superstition. Religion can

purify science from idolatry and false absolutes

GOD BLESS

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trigonometry first periodical 2011-2012

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