Describe the Trig Graph
Ch 6: Identities
Solve by graphing
Graphs of Trig Functions
Write the sine equation
100

Identify the period of y=2sin(3x)

What is 2pi/3

100

Simplify: sin(x)/cos(x)

What is tan(x)?

100

On the interval [0,2pi) list all the solutions for sin(x)=0

What are x=0, x=pi or x=3.14

100

Amplitude of y=-5 cos(-pi*x) 

What is 5?

100

Write the sine equation that has an amplitude of 2, period of 2pi, and no shifts.

What is y=2sin(x)

200

Identify the phase shift of y=sin(3x+pi/2)+2

What is left pi/4 

200

Simplify: tan(x)/cot(x)

What is tan2(x)?

200

On the interval (0,3pi] list all the solutions for sin(x)=0

What is x=pi or x=3pi, and x=2pi or x=6.28, and x=3pi or 9.42

200

Period of y=3cos(pi*x)

What is 2?

200

Write the sine equation that has an amplitude of 3, period of 2pi, no phase shift, and a vertical shift up 5.

What is y=3sin(x)+5

300

Identify the amplitude of y=-2sin(2x+1)+1

What is 2

300

cos(x)csc(x)tan(x)=?

What is 1?

300

On the interval [0,2pi) list all the solutions for 2sin(x)=-1

What are x=3.67 and x=5.76

300

Vertical shift of y=-2 sin(x/4)+5

What is 5 units up?

300

Write the sine equation that has an amplitude of 1, period of 2pi, a phase shift of right pi/4, and no vertical shift.

What is y=sin(x-pi/4)

400

Identify the phase shift of y=sin(x/2-pi/6)

What is right pi/3

400

cot(x)sec(x)=?

What is csc(x)?

400

On the interval [-2pi,2pi) list all the solutions for -4sin(x)=sqrt(3)

What are x=-2.69, x=-0.45, x=1.73, and x=1.73

400

Period of y=-2 sin(x/4)

What is 8*pi?

400

Write the sine equation that has an amplitude of 3, period of pi, a phase shift of left pi/8, and a vertical shift down 3.

What is y=3sin(2x+pi/4)-3

500

Identify the vertical asymptotes of y=sec(x) on [0,2pi]

What is x=pi/2 and x=3pi/2

500

sin(x)[tan(x)cos(x)-cot(x)cos(x)]=

What is 1-2cos2(x)?

500

List all the solutions for -sqrt(2)sin(x)=1

What are x=3.93+2piK and x+5.50+2piK

500

Range of y=sin(2x)+3

What is [2, 4]?

500

Write the sine equation that has an amplitude of 1, period of 3pi, a phase shift of left pi/6, and a vertical shift up 1.

What is y=sin(2/3x+pi/9)+1