Worksheet 4,5,6A,6B,7,8,9,10

Read all directions carefully. Circle or box all final answers.

1. Complete the following table, along with plotting the points and creating the graph of siny x= . In

addition, as you’re working, ask yourself why a table going from zero to 2π was picked. Why is this

enough to get an idea of what the graph of siny x= looks like?

siny x= , 0 2x  

2. Complete the following table, along with plotting the points and creating the graph of cosy x= .

cosy x= , 0 2x  

x y = sin x (x, y)

0 0 (0, 0)

6



1

2

1 ,

6 2

     

2



5

6





7

6



3

2



11

6



2

x y = cos x (x, y)

0 1 (0, 1)

3



1

2

1 ,

3 2

     

2



2

3





4

3



3

2



5

3



2

Math 347 – Skills for Trigonometry

Worksheet – Basic Graphs

Name _________________________

3. The period of the tangent function is __________, so I only need to look at an interval of values that covers this length, and after that the graph ________________.The values where the tangent function is undefined

are represented on the graph by a ______________________________.

tany x= , 2 2

x  

−  

4. Find all the values of 𝑥, 0 ≤ 𝑥 ≤ 2𝜋, for which the following are true. a. sin 𝑥 = 0 b. tan 𝑥 = 0

c. cos 𝑥 = 1

2

d. tan 𝑥 is undefined.

5. Use the unit circle and the fact that cosine is an even function to find each of the following: a. cos(−60∘)

b. cos (− 5𝜋

3 )

6. Use the unit circle and the fact that sine is an odd function to find each of the following: a. sin(−30∘)

b. sin (− 7𝜋

6 )

x y = tan x (x, y)

2

 −

undefined undefined

3

 −

3 1.73−  − , 3

3

  − −   

4

 −

6

 −

0

6



4



3



2

