4.1-4.2 Quiz Review

Radian and Degree Measure

100

What is 3pi/2 in degrees?

270^o

200

What is 120^o in radians?

2pi/3

300

What is 7pi/6 in degrees?

210^o

400

What is -7pi/4 in degrees?

-315^o

500

What is -330^o in radians?

-11pi/6

Linear and Angular Speed

100

What is the angular speed of a turntable set at 2300 rpm.

4600pi rad/min

200

What is linear speed given that the radius is 6 inches and the angular speed is 3000pi rad/min.

18000pi inches/min

300

What is the angular speed of a windmill with blades at 1234 rpm. Write your answer in radians per second and round to 2 decimal places if needed.

41.13 rad/sec

400

What is the linear speed given that the blades of a windmill have a speed of 570 rpm and have a radius of 9 inches. Write your answer in ft/minute.

855 ft/min

500

What is the linear speed if the blades of a windmill are set at 453 rpm with a radius of 8 inches. Write your answer in ft/sec. Round to 2 decimal places if needed.

10.07 ft/sec

The Unit Circle & its Quadrants

100

What is the equation of the unit circle?

x²+y²=1

200

What is the radius of the unit circle?

1

300

What quadrant does 2pi/3 lie?

2

400

What quadrant does -5pi/3 lie?

1

500

What quadrant does -3pi/4 lie?

3

Trig Definitions

100

What is the sin0^o?

0

200

What is the cos(pi/6)?

(sqrt3)/2

300

What is the sec(pi/2)?

Undefined

400

What is the csc240⁰?

-2sqrt3/3

500

What is the cot(5pi/3)?

-sqrt3/3

Coterminal, Complementary, and Supplementary Angles

100

If possible, find both the complementary and supplementary angle to 7pi/6.

None

200

Find one positive and one negative coterminal angle to pi/6.

13pi/6

-11pi/6

300

If possible, find the complement and supplement of the angle 67^o.

C: 23^o

S: 113^o

400

Find one positive and one negative coterminal angle to 536^o

176^o

-184^o

500

If possible, find the complementary and supplementary angles to 2pi/3.

S: pi/3

C: None