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Worksheets

Trig Graphing 2

Total questions: 24

Worksheet time: 21mins

Name
Class
Date
1.

Where does the graph of y=sin(x) begin its first cycle?

a)

(0, 0)

b)

(1, 0)

c)

(0, 1)

d)

(1, π)

2.

Where does the graph of cosine begin?

a)

(0,0)

b)

(0,1)

c)

(0, π)

d)

(1, π)

3.
What is the period of either graph? 
y = sin(x)      &   y = cos (x)
a)

π

b)

c)

π/2

d)

π/4 

4.

what is the amplitude of

y = -3sin (7x) -2

a)

7

b)

-2

c)

3

d)

-3

5.
What is the equation of the graph?
a)
 y = 2 cos x
b)
y = sin x
c)
y = 2 sin x
d)
y = sin 2x 
6.
What is the equation of graph? 
a)
y = sin 5x
b)
y =  cos 5x
c)
y = 5 sin x
d)
y = 5 cos x 
7.
Sine or Cosine?
a)
y=sinx
b)
y=cosx
8.
Sine or Cosine?
a)
y=sinx
b)
y=cosx
9.
What is the range of the equation 
y = 2cos(2x)? 
a)

All Real Numbers

b)

[-1, 1]

c)

[2, ∞)

d)

[-2, 2]

10.

What's the range of y = csc x ?

a)
b)
c)
d)
11.

What's the range of y = cot x

a)
b)
c)
d)
12.

Which parent function is shown?

a)

y = tan x

b)

y = sin x

c)

y = csc x

d)

y = sec x

13.
a)
y = sin x
b)
y = - sin x
c)
y = cos x
d)
y = - cos x
14.

What is the period length of y=tanx

a)

π

b)

c)

-2π

d)

π+1

15.
Determine an equation for this graph:
a)
y=2csc(x)
b)
y=csc(x) + 1
c)
y=2csc(x) + 1
d)
y= csc(x) + 2
16.
Determine an equation for this graph:
a)
y=csc(x)
b)
y=sec(x)
c)
y=cot(x)
d)
y= tan(x)
17.
Name the graph 
a)
y = cot x 
b)
y = sinx
c)
y = tan x 
d)
y = secx
18.

Write an equation for the graph.

a)

y = 2sec(x)

b)

y = -2sec(x)

c)

y = 2csc(x)

d)

y = -2csc(x)

19.

What is the range of the graph?

a)

(-∞, ∞)

b)

(-∞, -2] ∪ [2, ∞)

c)

[ -2, 2]

d)

x / x ≠ π/2 + kπ

20.

What is the domain of the graph?

a)

(-∞, ∞)

b)

(-∞, -2] ∪ [2, ∞)

c)

[ -2, 2]

d)

x / x ≠ π/2 + kπ

21.

What are the asymptotes?

a)

x = π/2 + kπ

b)

x = π/4 + kπ

c)

x = 0 + kπ

d)

x = π/4 + kπ/2

e)

x = π/2 + kπ/2

22.

Write an equation or the graph.

a)

y = 2sec(x)

b)

y = 3sec(x)

c)

y = 3sec(2x)

d)

y = 3csc(x)

e)

y = 3csc(2x)

23.

What is the period?

y=5csc (2x+π)6y=5\csc\ \left(2x+\pi\right)-6

a)

b)

c)

π

d)

π/2

e)

2π/5

24.

What is the phase shift?

y=5csc (2x+π)6y=5\csc\ \left(2x+\pi\right)-6

a)

right π/2

b)

down 6

c)

left π

d)

left π/2

e)

right π