
Understanding Derivatives of Trigonometric Functions

Interactive Video
•
Mathematics
•
9th - 12th Grade
•
Hard
+1
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 main goal of the visual argument presented in the video?
To show the derivative of cosine is negative sine
To explain the concept of limits
To prove the derivative of sine is cosine
To demonstrate the addition of angles in trigonometry
Tags
CCSS.HSF.TF.C.9
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What previous knowledge is assumed in the video?
Derivative of sine is cosine
Derivative of cosine is sine
Derivative of tangent is secant squared
Derivative of secant is tangent
Tags
CCSS.HSF.IF.B.4
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does the blue graph represent in the context of the video?
The original function
The derivative of the red graph
The integral of the red graph
A random trigonometric function
Tags
CCSS.HSF-IF.C.7E
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What transformation is applied to both graphs in the video?
Shift to the left by pi/2
Shift to the right by pi/2
Vertical stretch
Horizontal compression
Tags
CCSS.HSF-IF.C.7E
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the purpose of shifting the graphs by pi/2?
To change the amplitude
To demonstrate a phase shift
To prove a trigonometric identity
To simplify the function
Tags
CCSS.HSF-IF.C.7E
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
After shifting, what does the red graph represent?
Sine of x + pi/2
Sine of x
Cosine of x + pi/2
Cosine of x
Tags
CCSS.HSF.TF.C.9
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
According to trigonometric identities, what is sine(x + pi/2) equivalent to?
Negative cosine of x
Sine of x
Negative sine of x
Cosine of x
Tags
CCSS.HSF.TF.C.9
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