2021年1月23日发(作者：video是什么意思)
三角函数测试题


























命题者：北京师范大学珠海分校附属外国语学校国际部高二数学组


郑毅霄

Diagnostic: Trigonometric Functions








































name
：





Question 1 of 20

Multiple Choice:
Which of the following is
a sinusoid?
A.

y
2
+
x
2
= 9
B.

y
= 2
x
C.

y
= |
x
|


D.

y
= 2sin
x

Question 2 of 20

Multiple Choice:
Choose the function
whose graph is given below.

A.

y
= -tan
x
B.

y
= csc
x
C.

y
= cos
x
D.

y
= cot
x

Question 3 of 20

Multiple Response:
Which functions have
a domain all real numbers except
,
where
n
is any integer?

A.

y
= csc
x
B.

y
= sec
x
C.

y
= cos
x
D.

y
= cot
x

Question 4 of 20

Fill in the blank:
What is the minimum
value that the function
y
= cos
x
assumes?

Answer:


Question 5 of 20

Multiple Response:
Which functions
below have period
?

A.

y
= tan
x
B.

y
= sin
x
C.

y
= cos
x
D.

y
= sec
x
E.

y
= cot
x
F.

y
= csc
x

Question 6 of 20


Multiple Response:
Let
n
be any integer.
Which function's graph features asymptotes
located at the values
?

A.

y
= csc
x
B.

y
= cos
x
C.

y
= tan
x
D.

y
= cot
x

Question 7 of 20


Multiple Choice:
The term that describes
the horizontal translation of a sinusoidal
graph is:

A.
amplitude.
B.
period.
C.
phase shift.
D.
sinusoidal axis.

Question 8 of 20


Fill in the blank:
What is the amplitude of
the graph of the sinusoid given by
y
=
3sin(5
x
)?

Answer:


Question 9 of 20

Multiple Choice:
Which function's graph
has a period of 1?
A.

B.

C.

D.



Question 10 of 20

Multiple Choice:
Which description
matches the transformations
y
=
cos
x
undergoes to produce
y
= 2cos(-
x
) -
4?

A.
Reflection across the
y
-axis, vertical
shift of 2 units, horizontal shift right by 4
units
B.
Horizontal compression by factor 2,
vertical shift by 4 units up, then a reflection
across the
x
-axis
C.
Reflection across the
y
-axis, vertical
stretch by factor 2, then a vertical shift
down 4 units
D.
Horizontal shift left 1 unit, then vertical
shift down by 4 units

Question 11 of 20


Multiple Response:
Which scenario(s)
describes periodic behavior?
Check all that
apply.

A.
Your body temperature