H Algebra 2 Make Up Exam  5.21.2016   Name____________Per__

MULTIPLE CHOICE.  Choose the correct answer.  If no

correct answer is given choose ʺEʺ.

Solve the equation.

1) 4(7 + 3x) = 1

16

A) {1

4} B) {4}

C) {-3} D) {3}

Use the end behaviors to match the graph.

2)

A) f(x) =  xeven B) f(x) = -xeven

C) f(x) =  -xodd D) f(x) =  xodd

Identify the sequence.

3) 6, 10, 14, 18, ...

A) both arithmetic and geometric

B) neither arithmetic or geometric

C) geometric sequence

D) arithmetic sequence

Find the inverse function.

4) f(x) = 7x + 8

A) f-1(x) = - x + 7

8

B) f(x) = x - 8

7

C) f-1(x) = x - 8

7

D) f-1(x) = x + 8

7

Which is the correct answer?

5) log329 is between which integers?

A) 0 and 1 B) 1 and 2

C) 2 and 3 D) 3 and 4

Convert to exponential form.

6) loga n = 2

A) a2 = n B) an = 2

C) 2a = n D) n2 = a

Use the change of base formula.

7) change  loga4  to a common logarithm

A) log a · log 4 B) log a + log 4

C)log a

log 4D)

log 4

log a

Solve the equation.

8) log 4x = log 5 + log (x - 2 )

A) - 10

9B) -10

C) 10 D) 1

Use the Law of Logarithms.

9) loga10 ≈ 1.2,  loga3 ≈ 0.6,    find loga30

A) 0.2 B) 0.8 C) 1.8 D) 1.4

Identify the equation of the conic section.

10) 5x2 + y2 +10x - 12y - 2 = 0

A) Parabola B) Circle

C) Ellipse D) Hyperbola

Find the (a) center and (b) shape of the ellipse

11)(x - 3)2

16 + 

(y + 1)2

4 = 1

A) (-3, 1);  vertical

B) (3, -1);  horizontal

C) (3, -1);  vertical

D) (-3, 1);  horizontal

Describe how the graph of y = x2 can be transformed to

12) y = (x + 6)2 - 9

A) left 6 units and down 9 units.

B) left 6 units and right 9 units.

C) right 6 units and down 9 units.

D) down 6 units and left 9 units.

Find the quadrant.

13) sin θ < 0 and cos θ < 0

A) Quadrant 1 B)  Quadrant 2

C) Quadrant 3 D)  Quadrant 4

Give the exact value.

14) cos 7π

6

A)  - 1

2B) - 

3

2

C)  3

2D)

1

2

Use the fundamental identities to find the value of the

trigonometric function.

15) Find cos θ if sin θ = - 5

13 and θ is in

quadrant III.

A) - 5

12B) - 

12

13

C)5

13D)

12

13

Use the trigonometric sum identity.

16) sin 20° cos 5° - cos 20° sin 5°

A) sin 15° B) cos 25°

C) cos 15° D) sin 25°

Simplify the expression.

17) cos x tan x

A) cot x B) sin x

C) 1 D) cos x

Solve the equation for the interval [0, 2π).

18) 2 cos x - 1 = 0

A) x = π

3, 5π

3B) x = 

π

6, 5π

6

C) x = 7π

6, 11π

6D) x = 

π

3, 2π

3

Solve the problem.

19) Lisa has  4 skirts, 6 blouses, and 2 jackets.

How many 3-piece outfits can she put

together assuming any piece goes with any

other?

A) 48 possible outfits

B) 96 possible outfits

C) 12 possible outfits

D) 24 possible outfits

Evaluate.

20) 7C4

A) 210 B) 420

C) 35 D) 12

Find the (a) direction and (b) slope of the asymptotes of

the hyperbola.

21)x2

9 - 

y2

16 = 1

A) up/down; m = ± 4

3

B) sideways;  m = ± 3

4

C) up/down; m = ± 3

4

D) sideways;  m = ± 4

3

A) Does this geometric series converge or diverge?

B)  Find the common ratio.

22)  81

8 + 

27

4 + 

9

2, ...

A) converge; 2

3B) diverge; 

2

3

C) converge; 3

2D) diverge; 

3

2

Find the amplitude or period as requested.

23) Find the period of y = 3 sin 2θ .

A) 2π B)π

3C) 3 D) π

Solve the equation for the interval [0, 2π).

24) sin2x + sin x = 0

A) x = 0, π, π

3, 2π

3

B) x = 0, π, 3π

2

C) x = 0, π, π

3, 5π

3

D) x = 0, π, 4π

3, 5π

3

Standard deviation.

25) About what percent of a normal distribution

lies betweeen ±1 standard deviation from the

mean?

A) 16.6% B) 95%

C) 68% D) 99.9%

Honors Algebra 2B Ch 6 Test 1 01.21.16 Name______________Per__ No calculators allowed. 1. Express log 3m w in exponential form 2. Express 4ra in logarithmic form.

3 3) 3 ) 3 ) )w mA m B w C w m D m w ) log 4 ) log 4 ) log 4 ) log 4a a r rA r B r C a D a 3. 3log 84 is between which two integers? 4. Evaluate log8 log2 .

) 2and3 ) 3and4 ) 4 and 5 ) 5 and 6A B C D log8

) log6 ) log4 ) ) 6log2

A B C D

Problems 5-6. Leave your answer in Calculator Ready Form.

5. Use the change of base formula for log4 12 6. Solve 3 50x

12

) log3

) log4

log12)

log4

12) log

4

A

B

C

D

) 50log3

) 3log50

log50)

log3

3) log

50

A

B

C

D

Evaluate

7. 5

1log 125

3 8. Which is graphed? 9. 3

3 3 3log 1 log 3 log 3

log53

)5

) 3

)

) 1

A

B

C

D

1

2

2

)

)

) 2

) log

x

x

x

A e

B

C

D x

3

) 7

) 8

) log 31

) 4

A

B

C

D

For problems 10-13 log4 0.60 and log9 0.95 Find

10. log64 11. 9

log4

12. log 2 13. log 40

1.______________ 2. ______________ 3. ______________ 4. ______________ 5. ______________ 6. ______________ 7. ______________ 8. ______________ 9. ______________ 10. _____________ 11. _____________ 12. _____________ 13. _____________ 14. _____________ 15. _____________ 16. _____________ 17. _____________ 18. _____________ 19. ____________ 20. ____________ B. ____________

14. True or False? 15. True or False?

log552 log 2log 4log ( 16) 2

Solve for x. 16. log 3log2 log5x 17. log log log log ( )2 2 2 23 5 2 x x

18. 5log ( 10) 3x 19. 3 36 36x x 20. 4 4log ( 6) log 2x x Bonus: Solve for x. Do not leave in CRF!

27log 3 x

Honors Algebra 2B Ch 6B Test 2 01.28.2016 Name_____________Per__ 1. Which is the value of log 50 2. Which is equivalent to ln x

) 1.6990 ) 3.9120

) 0.6990 ) 0.9120

A B

C D

) log ) ln

) log ) loge

e

A x B x

C x D e

3. Use the change of base formula for log 12e 4. What is the value of e?

12

) log12

12) log

log12)

log

) log

A

Be

Ce

D e

) 1.73

) 2.7182

) 3.14

) 1.41

A

B

C

D

5. Solve 2 49 27x 6. log75 1.8751 Find the mantissa

7. Find ln 36

ln 22

8. Solve 2 100xe

ln 6ln 2

) ln 4

) ln 3

) 4

)

A

B

C

D

) ln10

) ln 50

) 25

) ln 25

A

B

C

D

9. Express 2 ln 3 2 as a single log. 10. Which is not true?

2) ln 9 ) ln8

) 2 ln 3 ) ln11

A e B e

C D 1

55

) ln ) log ln

) ) log 3 ln 3

e

e

A e e C e e

B e e D

11. Solve for x 45xe 12. Solve for x ln x 4

13. Which could be the graph of ex A) B) C) D)

14. What is the domain and range of ln ?x 15. Solve 4 4log ( 6) log 2x x

A) ( , )

( , )

D

R

B) ( , )

(0, )

D

R

C) (0, )

( , )

D

R

D) ( , 0)

( , )

D

R

Use your calculators to solve for x. Round your solutions to ten thousandths 16. antilog 4.3452 17. ln 2.5181x

18. 3 1000x 19. 4log 500 x

20. How many years would it take $1250 at 6% compounded quarterly to grow to $5,000

1ntr

nA P

Bonus: Solve 2 11 18 0x xe e

Honors Algebra 2A Test 3 Ch 7 02.12.2016 Name___________________________Per _____ Show all your work for full credit

1. Define the domain2 12

( )3

x xf x

x

2. Define the domain

2

2( )

5f x

x x

) 3 ) 3

) 3 ) 4

A x B x

C x D x

) 0, 5 ) 0

) 0,5 ) 5

A x B x

C x D x

3. Find the LCM of 2 32 , and 6x x x 4. Multiply 2 4 12

2

6

8

x x y

y 5. Simplify

4 12

4 12

x

x

2 2

3

) 12 ) 4

) 2 ) 6

A x B x

C x D x

6 10

2

6 6 10

10

3 3) )

44

3 3) )

44

x yA B

y

x x yC D

y

) 1 ) 1

12 3) )

12 3

A B

x xC D

x x

6. Find the y-intercept of10

( )5 2

xf x

x

7. Find the x-intercepts of

2 9( )

3 2

xf x

x

Simplify

8. 4 16

4

c

c

9. 1 1

yz xy 10.

3

2

5 125

25

x x

x

11. 2 2 15

5

x x

x

12.

2 1

3 21

25

Problems 13-14. Solve

13. 5 4

15 5

x 14. 2

3 1 10

1 1 1x x x

15. Working together, Keith and Kris can complete a job in 3 hours. If it takes Keith 5 hours to do the job alone, how long would it take Kris to do the job alone? 16. Rosie can wash her car in 8 minutes. Kyle can wash the same car in 6 minutes. How long would it take them to wash the car together? 17. How many quarts of 60% Strawberry drink should be mixed with 8 quarts of 20% Strawberry drink to make 14 quarts of a 50% Strawberry drink?

18. Find the x asymptote of 1

( ) 24

f xx

19. Find the y asymptote of 6 2

( )3

xf x

x

20. Graph 1

( )2

f xx

Bonus 1: Simplify 1

11

11

21

23

Bonus 2: Simplify 2

3 21

21

x x

x

Two girls were born to the same mother, on the same day, at the same time, in the same month and year and yet they're not twins.

How can this be?

ZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ The two babies are two of a set of triplets ZZZZZZZZZZZZZZZZZZZZZZZZ

Honors Algebra 2B Test 4 Conic Sections 02.25.2016 Name_______________Per__

For the circle 2 25 3 4x y find the 2. Which is NOT true? In an ellipse________

1. center  and radius                                     A) “a” is always greater than “b”

A) (5, -3), 2 B) (-5, 3), 4 B) “b” is the distance from the center to minor vertices

C) (-5, 3), 2 D) (5, -3), 4 C) 2 2 2c a b

For problems 3 and 4. Given the equation of the ellipse 2 29 16 144x y

3. The major axis is 4. Find the coordinates of the major vertices

A) Horizontal A) (0,0 4) B) (0,0 3)

B) Vertical C) (0 4,0) D) (0 3,0)

5. Find the distance from the center to the major 6. Find the center of the ellipse

vertices given the ellipse 2 2( 4)

116 25

x y

2 2( 4) ( 1)1

9 4

y x

A) 4 B) 5 A) (4, -1) B) (-4, 1)

C) 3 D) 41 C) (1, -4) D) (-1, 4)

For the hyperbola 2 2( 3)

19 16

y x For the hyperbola 2 24 9 36x y find the

7. find the center 9. direction of openings A) up/down B) right/left

8. slope of the asymptotes 10. coordinates of the vertices

For the parabola 21( 3) 1

16x y find the

11. vertex 12. direction of opening 13. For the parabola 212

8y x

A) (3, -1) B ) (-3, -1) A) up B) down find the directrix

C) (-1,-3) D) (-1, 3) C) right D) left

Name the conic with the following equation. C) circle E) ellipse H) hyperbola P) parabola

14. 2 22 4 6 5 0x y x 15. 2 2 6 2 4 0x y x y 16. 23 6 3 0x x y

GRAPH AND LABEL

17. Graph 2 2( 3) ( 1) 9x y 18. Graph 2 29 4 5 0x y y

19. Graph 2 29 4 36x y 20. Graph 21( 2)

4x y

Bonus :

Find the graphing form equation

of Stewie’s head

Honors Algebra 2B Test 5 Ch 8 3.08.2016 Name ________________Per__ Show all your work for credit!!! 1. Is the sequence 16, 8,4, 2,1,... 2. For the arithmetic sequence 44, 36, 28,… Arithmetic, Geometric, or Neither? find the 54th term

3. For the geometric sequence 1

9,3,1, ,...3

4. For the arithmetic sequence 1, 5, 11, 17...

find the common ratio. find the common difference

5. How many terms in the series? 6. Does the geometric sequence 1 1 1

, , ,...4 16 64

8

3

4 9i

i

A) converge B) diverge C) not geometric

7. An infinite geometric series converges if: 8. Find the first 3 term of the arithmetic sequence

) 1 ) 1 ) 1 ) 0A r B r C r D r 3 5nt n

9. For the arithmetic sequence 8 12 16 20,... 10. Find the general equation for the arithmetic sequence Find the sum of the first 48 terms. 3, 10, 17, 24, … For problems 11 and 12, find the sum of the infinite geometric series. If no sum exists, state why.

11. 2 6 18 ... 12. 3

6 3 ...2

1.______________ 2. ______________ 3. ______________ 4. ______________ 5. ______________ 6. ______________ 7. ______________ 8. ______________ 9. ______________ 10. _____________ 11. _____________ 12. _____________ 13. _____________ 14. _____________ 15. _____________ 16. _____________ B. _____________

13. Find the sum 5

1

6 2m

m

14. Find the sum 31

2

4 6c

c

15. Insert 4 arithmetic means between 5and 50. 16. Insert 2 geometric means between 2 and 54.

5,______, ______, ______,______,50 2, _____, _____, 54

Bonus: A movie theater architect designs a theater with 15 seats in the first row, 18 in the second row, 21 in the third row, and so on. If the theater is to have a seating capacity of 870, how many rows must the architect use in his design? What is half of infinity???????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????----nity////////////////////////

Algebra 2B Test 6 Ch 10 Perms, Combs, Prob Name____________________ Per___ Problems 1-4 NO CALCULATORS!!! 1. Evaluate 5 2C 2. Evaluate 6 4P

5! 5! 5! 5!

) ) ) )3! 3!2! 2! 5!

A B C D 6! 6! 6! 6!

) ) ) )4! 4!2! 2! 6!

A B C D

3. How many ways can you get a sum of 4 with 2 dice. 4. Simplify 8!

4!

A) 4 B) 3 C) 2 D) 10 A) 2! B) 4! C) 8 7 6 5 D) 8! 7! 6! 5!

Problems 5-14 CALCULATORS OKAY. 5. A student has 6 textbooks. His backpack can only 6. How many 3 letter permutations can be made from hold 3 books. How many 3 book combinations the word M-A-R-C-H. are possible? 7. You have 5 shirts, 4 pants and 2 jackets. How 8. A race has 5 swimmers. In how many different many different 3 piece outfits are possible? orders can they finish 1st and 2nd? 9. The Secret Password to a computer is How many passwords are possible? (Hint: 1 letter followed by 2 digits that can repeat) 10. Hankie can only invite 4 of his closest friends to his birthday dinner. How many different groups of 4 can he form from his 7 closest friends. A bag contains 3 Blue, 2 Red and 4 Green marbles. What is the probability of choosing 11. a Green marble 12. a red marble and then a blue marble without replacement.

1.______________ 2. ______________ 3. ______________ 4. ______________ 5. ______________ 6. ______________ 7. ______________ 8. ______________ 9. ______________ 10. _____________ 11. _____________ 12. _____________ 13. _____________ 14. _____________ B. _____________

13. If a coin is flipped 4 times, what is the probability of getting exactly 2 heads and 2 tails? Hint: use binomial expansion or a tree diagram. (Leave your answer as a ratio) 14. What is the probability of rolling a sum of 7 or 11 with two dice. (Leave your answer as a ratio) Bonus: Here are the results of a breakfast survey of 50 people. From the total population, find the percent of women who ate breakfast.

Ate Breakfast

No Breakfast

Total

Men 8 20 Women 18 Total 38 50

1. ___%

2. ___% 3. ___%

4. ___%

HONORS ALG 2B TEST Statistics 4.01.16 Name_______________Per __ Show all your work for full credit!!! See diagram for problems 1-5. Given a Normal Distribution: 1. What percent lies between x and x ? 3. What percent lies above 2x

2. What percent lies between x and 2x ? 4. What percent lies between 2x

5. If 9x and 3 , _______% of the scores would be between 6 and 12. 6. Given a Variance of 276, the Standard Deviation = __________ Given are the years experience of Math Teachers at Cleveland HS (2016) Find the 7. Mean 8. Variance 9. Standard Deviation 10. Fill in the graph with values X 1X SD

2X SD

Yrs Exp x 2x x

12 12 13 13 13 14 17 19 19 20 21 24 25 26 30

1.______________ 2. ______________ 3. ______________ 4. ______________ 5. ______________ 6. ______________ 7. ______________ 8. ______________ 9. ______________ See Graph 10. _____________

______ _______ _______ _______ _______

Variance _____

Standard Deviation _____

Mean _____

-2 -1 0 1 2

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Honors Algebra 2 Basic Trig Function Values 4.15.16 Name___________________________________

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Find the measure of the angle . Leave incalculator ready form.

1)

7 12

AB

C

Find the measure of side x. Leave in calculator ready form

2)

14

x

BA

C

37°

State the quadrant in which the terminal side of each angle lies.

3) °

A) IV B) IIC) I D) III

4)

A) II B) IIIC) IV D) I

Find the positive coterminal angle.

5) °

A) ° B) ° C) ° D) °

Find a negative coterminal angle.

6)

A)

B)

C)

D)

Find the reference angle.

7) °

A) ° B) °C) ° D) °

Use the cofunction identiy.

8) sin 60° = cos _____°

A) 120° B) 30°C) 60° D) 150°

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Convert each degree measure into radians and each radian measure into degrees.

9) 150°

A)

B)

C)

D)

10)

A) 315° B) 225°C) 135° D) 150°

Find the exact value of each trigonometric function.

11) tan ° 12) sin °

13) cos ° 14) sin

15) cos

16) tan

17) tan

18) tan

19) sin

20) cot

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Algebra 2 Name___________________________________

Period____Date________________©R V2T0X1D6A kK0u4tra0 OSioIfpthwoaQrWed yLdLPCD.J a yAglGlL Preing6hjttsf Hr7egsseNrZvnepdD.6Honors Alg 2B Test 9 Graphing Trig Functions

Convert each degree measure into radians and each radian measure into degrees.

1)

A) 215° B) 200°C) 195° D) 390°

2) 285°

A)

B)

C)

D)

3)

A) 247.5° B) 202.5°C) 67.5° D) 157.5°

4) 165°

A)

B)

C)

D)

Find the amplitude.

5)

y

sin

A) B) C)

D)

Find the period.

6)

y

tan

A)

B)

C)

D)

Find the phase shift.

7)

y

sin

(

)

A)

up B)

left

C)

down D)

right

Find the vertical shift.

8)

y

sin

(

)

A) up B) downC) up D) down

Find the period.

9)

y

sin

A)

B)

C)

D)

Name the quadrant angle

10) tan

und

A) only

B) and

C)

and

D)

and

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Graph each function using radians.

11)

y

sin

12)

ycos

13)

ytan

14)

y

cos

15)

y

sec

16)

ycos

    Honors Algebra 2B Test 10    5.12.16           Name____________Per__  Show all your work for credit!!!

For Problems 1-4.

Use the sum or difference identity.

1) cos 5π

12

A)6 +  2

2

B)  6 +  2

4

C)- 2 - 6

4

D)6 -  2

4

2) sin π

12

A)  - 6 +  2

4

B)- 6 -  2

4

C)6 +  2

4

D)6 -  2

4

3) sin 250° cos 10° + cos 250° sin 10°

A) sin 240°

B) sin 260°

C) cos 240°

D) cos 260°

4) cos 23° cos 10° + sin 23° sin 10°

A) cos 13°

B) sin 13°

C) sin 33°

D) cos 33°

Problems 5 - 11.

Complete the identity.

5) csc θ(sin θ + cos θ) = ?

A) -2 tan2θ

B) sec θ csc θ

C) 1 + cot θ

D) sin θ tan θ

6)tan θ

cot θ

A) tan2θ

B) sin θ

C) sec2θ

D) cos3θ

7) sin2x +   _  + = 1

A) csc2x

B) sin2x

C) tan2x

D) cos2x

8)sin x

tan x = 

A) cos x

B) cot x

C) csc x

D) sec x

9) 1 - sin2 θ

A) - cos2 θ

B) cos2 θ

C) cos θ

D) cot2 θ

10) sin θ cos θ sec θ csc θ

A) 1

B) sec2θ

C) tan2θ

D) csc2θ

11) sin  2θ = ?

A) sin2θ + cos2θ

B) cos2θ - sin2θ

C) sin2θ - cos2θ

D) 2sinθcosθ

Find the exact value of the expression .

12) sin θ = 4

5,   0 < θ < 

π

2

Find cos 2θ.

A) - 8

25

B) - 7

25

C)24

25

D)7

25

Find the value of θ.      0 ≤ θ < 2π

13) 2cos  θ =  3

A) 60°,150°

B) 30°,210°

C) 60°, 300°

D) 30°, 330°

14) cos θ -1 = 0

A) 270°

B)  0°and180°

C) 0°

D) 90° and 270°

15) 2 sin θ +  3 = 0

A)π

2, 3π

2

B)π

3, 5π

3

C)4π

3, 5π

3

D)3π

2

Find all solutions in the interval [0, 2π).

16) cos2 x - 1 = 0

A) {0, π}

B)π

2

C) {0, π, 2π}

D) 0, π

2, π, 

3π

2

17) sin2x + sin x = 0

A) x = 0, π, π

3, 2π

3

B) x = 0, π, 3π

2

C) x = 0, π, π

3, 5π

3

D) x = 0, π, 4π

3, 5π

3

Find the range of the inverse .

18) sin-1 x

A) 0,  π

B) 0, 2π)

C) - π

2, π

2

D)π

2, 3π

2

Find the angle of the inverse function.

19) cos-1 - 3

2

A)  -2π

3

B) - π

6

C)5π

6

D)2π

3

Solve for solutions for the interval [0, 2π).

20) 2 cos 2θ = 1

A)π

4, 3π

4, 5π

4, 7π

4

B)π

8, 7π

8, 9π

8, 15π

8

C) 0, 2π

3, π, 

4π

3

D)π

4, 3π

4

   Algebra 2B Test 10    5.12.16                    Name____________Per__  Show all your work for credit!!!

For Problems 1-4.

Use the sum or difference identity.

1) cos 75∘

A)6 +  2

2

B)  6 +  2

4

C)- 2 - 6

4

D)6 -  2

4

2) sin 15∘

A)  - 6 + 2

4

B) - 6 + 2

C)6 + 2

4

D)6 -  2

4

3) sin 250° cos 10° + cos 250° sin 10°

A) sin 240°

B) sin 260°

C) cos 240°

D) cos 260°

4) cos 23° cos 10° + sin 23° sin 10°

A) cos 13°

B) sin 13°

C) sin 33°

D) cos 33°

Problems 5 - 7.   Find the value of the

trigonometric function.  Hint : DTDT

5) Find sin x if cos x = 2

3 and x is in

quadrant IV.

A)5

4

B)3 7

7

C) - 3

2

D) - 5

3

6) Find sin x if cos x = - 11

6 and x is in

quadrant III.

A) - 3

12

B) - 25

36

C)5

6

D) -5

6

7) Find cos θ if sin θ = - 5

13 and θ is in

quadrant III.

A) - 12

13

B) - 5

12

C) - 13

5

D)12

5

Problems 8 -14

Complete the result is an identity or simplify.

8)       = 1

sin x

A) tan x

B) cot x

C) csc x

D) sec x

9) sin2x +   _   = 1

A) csc2x

B) sin2x

C) tan2x

D) cos2x

10) 1 -       = sin2x

A) cos2x

B) cot2x

C) tan2x

D) sec2x

11)sin x

tan x = 

A) cos x

B) cot x

C) csc x

D) sec x

12)tan θ

cot θ

A) tan2θ

B) sin θ

C) sec2θ

D) cosθ

13) 1 - sin2 θ

A) - cos2 θ

B) cos2 θ

C) cos θ

D) cot2 θ

14) sin θ cos θ sec θ csc θ

A) 1

B) sec2θ

C) tan2θ

D) csc2θ

Which is a true statement.

15)  sin-1x =

A) inverse sin x

B)1

sin x

C) - 1

sin x

D) - sin x

Problems 16 - 20

Find the value of θ.    0°≤ θ < 360° or  0 ≤ θ < 2π

16) 4 sin2θ = 3

A) θ = 30°, 120°, 150°, 330°

B) θ = 60°, 120°, 240°, 300°

C) θ = 45°, 135°, 225°, 315°

D) θ = 30°, 150°

17) cos θ -1 = 0

A) 270°

B)  0°and180°

C) 0°

D) 90° and 270°

18) 2 sin θ +  3 = 0

A)π

2, 3π

2

B)π

3, 5π

3

C)4π

3, 5π

3

D)3π

2

19) 2cos  θ =  3

A) 60°,150°

B) 30°,210°

C) 60°, 300°

D) 30°, 330°

20) tanθ - 3  = 0

A)2π

3,  5π

3

B)π

3, 5π

3

C)π

3, 4π

3

D)π

3, 2π

3