
Limits and Trigonometric Functions

Interactive Video
•
Mathematics
•
11th - 12th Grade
•
Hard

Aiden Montgomery
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the basic relationship between sine and cosine in trigonometry?
Sine and cosine are equal
Sine divided by cosine equals tangent
Sine is the reciprocal of cosine
Sine is the tangent of cosine
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When dividing through by sine x, why does the direction of the inequality remain unchanged?
Because sine x is a constant
Because sine x is always negative
Because sine x is zero
Because sine x is positive for small x
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What mathematical concept is used to describe values approaching zero?
Derivatives
Integrals
Limits
Functions
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What happens to the value of 1 as x approaches zero?
It becomes negative
It becomes infinite
It remains unchanged
It becomes zero
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the Squeeze Theorem used to demonstrate in this context?
That x over sine x approaches one
That x over sine x approaches infinity
That x over sine x approaches negative one
That x over sine x approaches zero
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How does the Squeeze Theorem apply to the limit of x over tan x?
It shows that the limit is negative one
It shows that the limit is infinite
It shows that the limit is one
It shows that the limit is zero
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What can be done to simplify the limit of 2x over sine x?
Multiply by sine x
Add 2 to the expression
Subtract 2 from the expression
Factor out the 2
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