Missing Sides and Angles
Graphing Angles
Unit Circle
Other Topics
Random Trivia
100

x = 20cm

100

Sketch a graph 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 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 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 of 

(-13pi)/5

answers vary

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
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