Ad math 6

Radians to degrees

100

135^o

3pi/4

200

300^o

5pi/3

300

-75^o

-5pi/12

400

11pi/3

660^o

500

17.5

1002.7^o

Tan, cot, sec, csc

100

State the period and shift of tan(x)+1

Per: pi

Shift: up 1

200

State the period and shift of cot(x+pi)

Per: pi

Shift: left pi

300

State the period and shift of sec(2x)

Per: pi

Shift:

400

State the period and shift of csc(x+pi/2)

Per: 2pi

Shift: left pi/2

500

State the period and shift of tan(x/2)-1

Per: 2pi

Shift: down 1

Find the length of arc

100

radius 14   Central angle 2pi/3

29.3

200

radius 14   Central angle 5pi/12 

18.3

300

radius 14   Central angle 3pi/11

12

400

radius 5   Central angle 32pi/45

11.2

500

radius 9   Central angle 73^o

11.5

Angular displacement and velocity

100

3 revolutions

18.8 rad

200

13.2 revolutions

82.9

300

60.7 revolutions

381.4 rad

400

1.8 revolutions for 9 seconds

1.3 rad/s

500

17.2 revolutions in 12 seconds

9 rad/s

Sin cos

100

State amplitude and period of 2sinx

per:2pi

Amp:2

200

State amplitude and period and shift of 3cos(X+pi)

per: 2pi

amp: 3

shift: left pi

300

State amplitude and period and shift of sin(X-pi/2)+1

per: 2pi

amp: 1

shift: right pi/2   up 1

400

State amplitude and period and shift of cos(X/2+pi)

per: 4pi

amp: 1

shift: left pi

500

State amplitude and period and shift of 2sin(2X+pi/2)-1

per: pi

amp: 2

shift: left pi/2   down 1