Sides & Angles
Graphing Angles
Unit Circle
Other Topics
Random Trivia
100
x = 20cm
100
Sketch a graph in standard position of
200^(o)
Visual Check
100
Determine the exact value of
cos(135)
- (sqrt2)/2
100
If an angle rotates
(4pi)/3
from standard position, and the radius of the circle is 6, what is the arc length?
s=8pi
100
How many colors are on a traditional depicition of a rainbow?
7 - ROYGBIV
200
Find the missing angle. Round to the nearest full degree.
theta = 16 degrees.
200
Sketch a graph in standard position of
(16pi) / 9
Visual Check
200
Determine the exact value of
tan((7pi)/4)
-1
200
tan Z = 3/4
200
Which season of weather has the most calendar days?
Summer!
- December solstice to March equinox: 88.99 days on average
- March equinox to June solstice: 92.76 days on average
- June solstice to September equinox: 93.65 days on average
- September equinox to December solstice: 89.84 days on average
300
Find sides j and k.
k=12, j=12sqrt(3)
300
Sketch a graph in standard position of
-880^o
Visual check.
300
Determine the quadrant for x if
cos(x) >0, sin(x) <0
Quadrant IV
300
Write all six trigonometric ratios for angle C.
sinC=15/17 , cscC=17/15
cosC=8/17 , secC=17/8
tanC=15/8, cotC=8/15
300
In a calendar year, what is the maximum number of "Friday the 13ths" that can occur?
Three: February, March and November in a non-leap year (last occurred in 2015).
400
In a right triangle BCD, where CBD is the right angle, CB = 22, and angle CDB = 24 degrees. Find the length of CD. Round to the nearest tenth.
CD = 54.1
400
Sketch a graph in standard position of
(-13pi)/5
Visual Check.
400
Determine the angle x if
sin(x) > 0, cos(x) < 0, |cosx|<|sinx|
x = 120^o
400
If the arc length is
(10pi)/3
And the angle is
(2pi)/3
What is the radius?
r = 5
400
Trees are my home, but I never go inside. When I fall off a tree, I am dead. What am I?
A Leaf
500
On the unit circle, if the coordinates for a point on the circle are (x,1/8) in Quadrant I, what is the reference angle? Round to the nearest tenth of a degree.
The reference angle is 7.2 degrees.
500
Create two different sketches of angles that are coterminal. Label each of them with the reference angle. One sketch must labeled in radians, one must be labeled in degrees.
Answers vary.
500
List all angles between 0 and 360 degrees where
sin(x)+cos(x)=0
135^o , 315^o
500
Determine the value of angle x if
tan(x)=cot(x)
x=45^o
500
How many public colleges/universites are there in NJ?
11 : TCNJ, RCNJ, Rutgers, Rowan, NJCU, NJIT, Montclair State, Kean, Stockton, William Patterson