
Understanding Limits with Trigonometric Functions

Interactive Video
•
Mathematics
•
9th - 12th Grade
•
Hard
Standards-aligned

Olivia Brooks
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the limit of sine of x as x approaches pi?
1
Undefined
0
-1
Tags
CCSS.HSF.TF.A.4
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why are sine and cosine continuous over all real numbers?
They are only defined for positive numbers
They are periodic functions
They have a finite range
They are defined and continuous over their entire domain
Tags
CCSS.HSF.TF.A.4
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is a common feature of sine and cosine regarding limits?
They are undefined at pi
They have limits equal to their function values at any point
They are only defined for positive angles
They have vertical asymptotes
Tags
CCSS.HSF.IF.A.2
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the limit of cosine of x as x approaches pi/4?
1
0
√2/2
Undefined
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What happens to the limit of tangent of x as x approaches pi?
It is -1
It is undefined
It is 0
It is 1
Tags
CCSS.HSF.TF.A.4
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why does the limit of tangent of x not exist as x approaches pi/2?
Tangent is continuous at pi/2
Cosine is one at pi/2
Sine is zero at pi/2
Tangent is not defined at pi/2
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is a key characteristic of tangent at pi/2?
It is continuous
It is zero
It has a horizontal asymptote
It has a vertical asymptote
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