Unit 11 Review

Coterminal Angles/Degrees and Radians

100

Name one positive coterminal angle to 250^o.

610^o, 970^o, 1330^o, etc.

200

Name one negative coterminal angle to -220^o.

-580^o, -940^o, -1300^o, etc.

300

Write the radian measure  (4pi)/12 in degrees.

60^o

400

Write the degree measure -540^o in radians. (Leave in terms of pi)

-3pi

500

Find the smallest positive coterminal of the angle 1890^o, then convert to radians.

90^o, 

pi/2

Standing room only

100

I can only use the standing room only formula when my angle is in which measure? Degrees or radians? 

Radians

200

What is the measure of arc length s?

6pi

300

What is the measure of the angle (in radians)?

(2pi)/3

400

Jeremey cuts out a slice from a circular pizza that has a crust length of 4 inches. Considering that the circular pizza has a diameter of 14 inches, how big of an angle is the hole that Jeremy’s slice left? (Round to the nearest hundredth)

0.57 radians

500

George's ferris wheel has a diameter of 250 feet. The central angle which is formed by the rider's starting position to their current position is 45^o. Find the distance traveled by the rider. Round to the nearest tenth.

98.2 feet

Reference Angles/Unit Circle

100

What is the equation of the unit circle? 

x^2+y^2=1

200

What is the reference angle of 226^o?

46^o

300

Find the exact value of sin(60^o).

sqrt3/2

400

Find the exact value of cos(240^o).

Reference angle: 60^o

-1/2

500

What are the maximum and minimum values sinA could have? Explain your reasoning.

-1 is the minimum, 1 is the maximum. sin is the y-coordinate, and in the unit circle, at 90^o our y-coordinate is 1, and at 270^o, our y-coordinate is -1.

Work with Trig Functions (including reciprocals)

100

An angle, alpha, 

sinalpha<0 & cotalpha>0. 

If alpha is drawn in standard position, which quadrant does its terminal ray lie? 

Quadrant III

200

Point A lies on the unit circle in the fourth quadrant. What would sinA be equal to if cosA is  12/13 ?

-5/13

300

At which values, from 0 to  2pi, would cot theta be undefined?

0, pi, and 2pi

400

What is the value of cscA if cosA = -5/7  and the terminal ray lies in the third quadrant?

secA = (-7sqrt6)/12 

500

Determine the value cotA if cosA= -4/9 and angle A's terminal ray lies in the second quadrant.

cotA=(-4sqrt65)/65

Graphing/Sinusoidal Modeling

100

The high and low temperatures during the day are 90 and 70 degrees, respectively. What is the amplitude of this trigonometric function?

10 degrees

200

The equation which models the daily temperature outside during the month of March can be written as  t(d)=-7cos(pi/6x)+45 where t is the daily temperature and d represents the number of days that have passed. Determine the range of the temperatures during the month of March. 

[38,52]

300

The London Eye is a huge Ferris wheel with its highest point being at 135 meters and its lowest point being at 2 meters in London, England. The ferris wheel completes one rotation every 30 minutes. Riders board from a platform 2 meters above the ground. Express a rider’s height as a cosine function of time in minutes.

y=-66.5cos(pi/15x)+68.5

400

For the function  y=-3cos(4x)+2 , state the

A) Amplitude

B) Midline

C) Range

D) Period

Then, on your group’s whiteboard, graph the function for ONE full cycle to the right of the origin. LABEL THE X-AXIS.

A) 3

B) y=2

C) [-1,5]

D)

pi/2

500

What is the equation for this cosine curve?

y=22cos((5)/2x)+13