Unit 11 Review

Angle Measures

100

How many radians are in 90 degrees?

pi/2

200

#15: If an angle has a positive cosine but a negative sine then it must terminate in which of the following quadrants?

      (1) I                                   (3) III

      (2) II                                 (4) IV

(4)  IV

300

A 100-degree arc of a circle has a length of 7 cm. To the nearest cm, what is the radius of the circle?

4 cm

400

Convert 13pi/20 to degrees.

117 degrees

500

#23: The terminal ray of an angle drawn in standard position passes through the point (.508, .862)  on the unit circle. Which of the following is closest to the tangent of this angle?

(1) 0.685                (3) 1.697

(2) 1.291                (4) 2.883

(3) 1.697

Acute Angles and Circular Functions

100

#16: Which of the following represents the range of the function ?

(1)   -60 <y<60                   (3) -16<y<4

(2)    0<y<20                      (4) 4<y<16

(Each inequality is less than or equal to)

(4)  4<y<16

200

If  cot (theta) < 0 and sec (theta) > 0  then theta  could be which of the following angles?

(1)  48^o                         (3)  122^o

(2) 310^o                   (4)  225^o

(2)   310^o   

300

What is tan (270^o)? 

Undefined

400

#17: Given the sinusoidal graph with coordinates shown below, which of the following is the value of its amplitude? (refer to document)

      (1) 14                                (3) 12

      (2) 6                                  (4) 28

(1) 14

500

What is cos(135^o)?

-(sqrt(2))/ 2

Sinusoids

100

Give the period and amplitude of the function: y = - 0.75cos(2x-2) + 5

Period is pi amplitude is 0.75

200

Describe the graph y = 3 sin (2x).

This graph has a period of pi, an amplitude of 3, a maximum point of 3, a minimum point of -3, and a midline of y = 0.

300

What is the period of the function: y = -3cos(pi x)

The period is 2.

400

#21: A person riding a Ferris wheel at a local fair makes one complete trip around in 10 minutes. Their height can be modeled using a sine function of the form y = Asin(Bt) + C , where t is the amount of time the person has been traveling, in minutes. Which of the following must be the value of B?

(1) 10                                  (3) 10pi

 (2)  1/20                              (4) pi/5

(4)  pi/5

500

#22: The volume of water in a tank varies periodically. At  it is at its maximum of 650 gallons and at  it is at its minimum of 120 gallons. Which of the following functions would best model the volume of water in this tank as a function of time in hours?

(1) V = 265cos((2pi/10)t) + 385

(2) V = -770sin(10t) + 385

(3) V = -385cos(5t) +265

(1) V = 265sin((pi/10)t) +770

(1) V = 265cos((2pi/10)t) + 385

Reciprocal Functions

100

#24: If alpha is an angle drawn in the standard position with its terminal ray landing in the fourth quadrant and csc (alpla) = -5 , then which of the following is the exact value of cos (alpha) ?

(1) - 1/5                       (3) (sqrt 24)/5

(2) - 24/25                    (4)  (sqrt 6)/2

(3) (sqrt 24)/5

200

Which of the follwoing values is not in the domain of f(x) = csc (x)?

      (1)     180^o                  (3)   90^o

      (2)       60^o                  (4)  135^o

     (1)     180^o

300

Which of the following is closest to the value of sec(52^o)?

      (1) 0.62                             (3) 0.36

      (2) 1.62                             (4) 2.48

(2) 1.62

400

# 25: For the angle theta it's known that cot(theta) < 0 and sin(theta) > 0. In which quadrant does the terminal ray of theta lie?

(1) I           (3) III

(2) II          (4)  IV

(2) II  

500

True or False: A vertical asymptote occurs when the denominator of a rational number equals zero. 

True 

Sine & Cosine

100

#19: The graph shown below can be described using the equation y = Acos(Bx) +k . Which of the following is the value of B + k? (refer to document for graph)

(1) 5pi                     (3) 11

(2) 13                      (4) pi/7

(2) 13  

200

#20: Which of the following lines would the graph of  y = -5sin(x) + 14 not intersect?

(1) x = 0      (3) y = 20

(2) x = pi     (4) y = 9

(3) y = 20

300

#18:  A periodic function has an equation y = 10cos(8x) - 2. What is the horizontal distance between any two consecutive relative maximums on this graph?

(1) 10                            (3) 8

(2)  pi/2                          (4)  pi/4

(4)  pi/4

400

#14: If f(x) - 10sin(2x) + 8 then f(pi/4) ?

(1) 4(sqrt 2)      (3) 18

(2) 8                 (4) 28(sqrt 3)

 (3) 18

500

Which country has the world's tallest building, fastest roller coaster, largest mall, and most expensive hotel? 

United Arab Emirates