I'm having a rad time!
DECIMALS and Degree Minute-Second Form
Coterminal Angles
Arc Length/Area of Sectors
Linear/Angular Speed
Unit Circle Quadrants
Sine & Cosine Equations
100

Convert 140 degrees to radians

7pi/9

100

Convert to DMS form

36.875 degrees

36 degrees 52 minutes 30 seconds

100

Give two coterminal angles for each given angle, one positive and one negative.

195 degrees

555 degrees

-165 degrees

100

Find the arc length 

Arc: 120 degrees 

Radius: 1.8ft

6pi/5 ft or 3.8ft

100

The fan on a pool heater has a diameter of 107 cm and rotates at a rate of 212 revolutions per minute.

Find linear speed in centimeters per minute.

22,684pi cm/min

or 71,263 cm/min

100

Trig functions that are positive in quadrant I?

ALL

100

What is the amplitude of y=2sin(x)+3 

a=2

200

Convert 108 degrees to radians

3pi/5

200

Convert to DMS form

-238.145 degrees

-238 degrees 8 minutes 42 seconds

200

Give two coterminal angles for each given angle, one positive and one negative.

319 degrees

679 degrees

-41 degrees

200

Find the arc length 

Arc: 45 degrees 

Radius: 2.2m

11pi/20m or 1.7 m

200

The fan on a pool heater has a diameter of 107 cm and rotates at a rate of 212 revolutions per minute.

Find angular speed in radians per minute.

424pi rad/min

or

1,332 rad/min

200

Quadrant where sec > 0 and csc < 0

Quadrant IV

200

What is the equation of the midline of y=-3cos(1/2x)+3

y=3

300

Convert -9pi/5 to degrees

-324 degrees

300

Convert to decimal degrees

54 degrees 26 minutes 18 seconds

54.4383 degrees

300

Give two coterminal angles for each given angle, one positive and one negative.

3pi/5 radians

13pi/5 radians

-7pi/5 radians

300

Find the area of the sector:

Central angle: 88 degrees 

Radius: 19ft

277.2 ft^2

300

A skateboard wheel with a 56-millimeter diameter makes 430 revolutions per minute. Find the linear speed of the wheel in meters per second.

1.3 m/sec

300

Quadrant III positive values

tan and cot

300

How many transformations take place in y=-3cos(3x+5)-1


5

400

Convert -7pi/18 to degrees

-70 degrees

400

Convert to decimal degrees

-303 degrees 20 minutes 14 seconds

-303.3372 degrees

400

Give two coterminal angles for each given angle, one positive and one negative.

11pi/7 radians

25pi/7 radians

-3pi/7 radians

400

Find the area of the sector:

Central angle: 215 degrees 

Diameter: 9ft

38 yd^2

400

A bicycle tire with a 12-inch radius is making 175 revolutions per minute. Find the linear speed in miles per hour.

12.5 mi/hr

400

Quadrant where tan < 0 and cos < 0

Quadrant II

400

What is the horizontal shift in y=4sin(2x-6) +3

3 right

500

Convert 190 degrees to radians

19pi/18

500

Convert to decimal degrees

289 degrees 5 minutes 30 seconds

289.0916 degrees

500

Give two coterminal angles for each given angle, one positive and one negative.

19pi/6 radians

7pi/6 radians

-5pi/6 radians

500

A wall clock is equally divided into 12 sections. If the clock reads 8:00 and has a diameter of 12.5 inches, find the area of the smaller sector formed by the minute and hour hands.

40.9 in^2

500

A record with a diameter of 12 inches rotates at 33 revolutions per minute. Find the angular speed of the record in radians per millisecond.

0.0035  rad/ms

500

Quadrant IV negative values

sin

csc

tan

cot

500

What is the period for 

y=2cos(1/3x-6)-4

y=2cos1/3x -4

6pi