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Trigonometric function practice

Total questions: 21

Worksheet time: 12mins

Name
Class
Date
1.

Which functions have a domain of  (, )\left(-\infty,\ \infty\right)  ? Check all that apply.

a)

 y = sin xy\ =\ \sin\ x  

b)

 y = cos xy\ =\ \cos\ x  

c)

 y = tan xy\ =\ \tan\ x  

d)

 y = csc xy\ =\ \csc\ x  

2.

This is the graph of which function?

a)

y = sin x

b)

y = cos x

c)

y = tan x

d)

y = csc x

e)

y = sec x

3.

This is the graph of which function?

a)

y = sin x

b)

y = cos x

c)

y = tan x

d)

y = csc x

e)

y = sec x

4.

This is the graph of which function?

a)

y = sin x

b)

y = cos x

c)

y = tan x

d)

y = csc x

e)

y = sec x

5.

This is the graph of which function?

a)

y = sin x

b)

y = cos x

c)

y = tan x

d)

y = csc x

e)

y = sec x

6.

This is the graph of which function?

a)

y = sin x

b)

y = cos x

c)

y = tan x

d)

y = csc x

e)

y = sec x

7.

This is the graph of which function?

a)

y = sin x

b)

y = cos x

c)

y = tan x

d)

y = csc x

e)

y = cot x

8.

This is the graph of which function?

a)

y = sec x

b)

y = cos x

c)

y = tan x

d)

y = csc x

e)

y = cot x

9.

This is the graph of which function?

a)

y = sec x

b)

y = cos x

c)

y = tan x

d)

y = csc x

e)

y = cot x

10.

This is the graph of which function?

a)

y = sec x

b)

y = cos x

c)

y = tan x

d)

y = csc x

e)

y = cot x

11.

This is the graph of which function?

a)

y = sec x

b)

y = cos x

c)

y = tan x

d)

y = csc x

e)

y = cot x

12.

This is the graph of which function?

a)

y = sec x

b)

y = cos x

c)

y = tan x

d)

y = csc x

e)

y = cot x

13.

This is the graph of which function?

a)

y = sec x

b)

y = cos x

c)

y = tan x

d)

y = csc x

e)

y = cot x

14.

Which functions have a domain of all real numbers except multiples of

 π\pi ? (Check all that apply)

a)

y = csc x

b)

y = sec x

c)

y = tan x

d)

y = cot x

15.

Which functions have a domain of all real numbers except odd multiples of

 π2\frac{\pi}{2} ? (Check all that apply)

a)

y = csc x

b)

y = sec x

c)

y = tan x

d)

y = cot x

16.

Which functions have a range of  (, 1][1, ,)\left(-\infty,\ -1\right]\cup\left[1,\ ,\infty\right)  ? Check all that apply.

a)

y = csc x

b)

y = sec x

c)

y = tan x

d)

y = cot x

17.

 sin π6?\sin\ \frac{\pi}{6}?  

What is

a)

 12\frac{1}{2}  

b)

1

c)

 32\frac{\sqrt{3}}{2}  

d)

-1

e)

0

18.

 cos π4?\cos\ \frac{\pi}{4}?  

What is

a)

 12\frac{1}{2}  

b)

1

c)

 32\frac{\sqrt{3}}{2}  

d)

-1

e)

 22\frac{\sqrt{2}}{2}  

19.

 tan π3?\tan\ \frac{\pi}{3}?  

What is

a)

 12\frac{1}{2}  

b)

1

c)

 32\frac{\sqrt{3}}{2}  

d)

 3\sqrt{3}  

e)

 22\frac{\sqrt{2}}{2}  

20.

 cos π?\cos\ \pi?  

What is

a)

 12\frac{1}{2}  

b)

1

c)

 32\frac{\sqrt{3}}{2}  

d)

-1

e)

0

21.

 sin π2?\sin\ \frac{\pi}{2}?  

What is

a)

 12\frac{1}{2}  

b)

1

c)

 32\frac{\sqrt{3}}{2}  

d)

-1

e)

0