Coterminal Angles/Degrees and Radians
Standing room only
Reference Angles/Unit Circle
Work with Trig Functions (including reciprocals)
Graphing/
Sinusoidal Modeling
Sinusoidal Modeling
100
Name one positive coterminal angle to 250o.
610o, 970o, 1330o, etc.
100
I can only use the standing room only formula when my angle is in which measure? Degrees or radians?
Radians
100
What is the equation of the unit circle?
x^2+y^2=1
100
An angle, alpha,
sinalpha<0 & cotalpha>0.
If alpha is drawn in standard position, which quadrant does its terminal ray lie?
Quadrant III
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
Name one negative coterminal angle to -220o.
-580o, -940o, -1300o, etc.
200
What is the measure of arc length s?
6pi
200
What is the reference angle of 226o?
46o
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
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
Write the radian measure (4pi)/12 in degrees.
60o
300
What is the measure of the angle (in radians)?
(2pi)/3
300
Find the exact value of sin(60o).
sqrt3/2
300
At which values, from 0 to 2pi, would cot theta be undefined?
0, pi, and 2pi
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
Write the degree measure -540o in radians. (Leave in terms of pi)
-3pi
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
400
Find the exact value of cos(240o).
Reference angle: 60o
-1/2
400
What is the value of cscA if cosA = -5/7 and the terminal ray lies in the third quadrant?
secA = (-7sqrt6)/12
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
Find the smallest positive coterminal of the angle 1890o, then convert to radians.
90o,
pi/2
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 45o. Find the distance traveled by the rider. Round to the nearest tenth.
98.2 feet
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 90o our y-coordinate is 1, and at 270o, our y-coordinate is -1.
500
Determine the value cotA if cosA= -4/9 and angle A's terminal ray lies in the second quadrant.
cotA=(-4sqrt65)/65
500
What is the equation for this cosine curve?
y=22cos((5)/2x)+13