Angles in Standard Position
Radians and Degrees
Unit Circle
Trig Functions/Coterminals
Scenarios/Sectors
100
Graph 45 degrees
100
What do you multiply by to convert radians into degrees?
180/pi
100
What are the four key Radian measures of the Unit Circle?
0, pi/2, pi, and 3pi/2 and or 2pi
100
In the accompanying diagram of the right triangle ABC, determine side length a.
4 or 12
100
Convert 35rpm to degrees per second.
35 revs/1min * 1min/60secs * 360 deg/1rev = 210degrees/sec
200
Which quadrant would contain 240 @ ?
Quadrant 3
200
Convert 30 @ into radians.
pi/6
200
What is the most popular car color in the USA?
White
200
What is the acronym we use to solve right triangles? Write it all out.
S(oppo/hyp)C(adj/hyp)T(oppo/adj)
200
Where did Ms A attend undergrad?
Villanova
300
Which quadrant would 725 @ land?
Quadrant 1
300
Convert (3pi)/4 into degrees.
135 degrees
300
In a unit circle, what quadrant is the ordered pair of
(-x, -y) in?
4
300
A positive angle that is coterminal with -210˚ is
150˚
300
A sector of a circle has an arclength of 2cm and a central angle of .4 radians. Find radius and area.
S = r(Theta) & K =1/2(r)(s)
2 = r(0.4) & k =1/2(5)(2)
Radius = 5CM & Area = 5cm^2
400
Which quadrant would contain
(5pi)/4
Quadrant 3
400
What is the radian equivalent of 330@ ?
(11pi)/6
400
What do you multiply by to change degrees to radians?
pi/180
400
What are the rules of determining coterminal angles?
If θ > 360°, then θ - 360° or -2pi (rads)
If θ < 0°, then θ + 360° or +2pi (rads)
400
Suppose you can ride a bicycle a distance of 5 miles in 5 minutes. If the bicycle's wheels have a diameter of 27inches, find the wheels' approximate rate of turn (RPM).
5mi/15mins * 5280ft/1mi * 12in/1ft * 1rev/27pi in = 248.99rpm.
500
Which quadrant would contain
(5\pi)/6
Quadrant 2
500
Convert to (9pi)/7 into degrees (round to the nearest hundredth).
231.43 degrees
500
State the quadrantal angles in degrees and their coordinates of the unit circle.
0˚, 360˚: (1, 0)
90˚: (0, 1)
180˚: (-1, 0)
270˚: (0, -1)
500
Find the positive and negative coterminals for 500 degrees
+ = 840 or 140
- = -220
500
A sector of a circle has a perimeter of 16cm and an area of 12cm^2. Find all possible Radii.
p =2r +s =16 & k=1/2rs
S = 16-2r
12 =1/2r(16-2r) so 24 = 16r-2r2
2r2-164+24 = 0
2(r-6)(r-2)=0 r =6 and 2