Polar Curves and Tangent Lines
Interactive Video
•
Mathematics
•
10th - 12th Grade
•
Practice Problem
•
Hard
Standards-aligned
Mia Campbell
FREE Resource
Standards-aligned
Read more
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the primary goal of the video on the slope of tangent lines to polar curves?
To explore the applications of polar curves
To learn about Cartesian coordinates
To determine dy/dx for polar equations
To understand the history of polar coordinates
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which trigonometric identities are used to derive the formula for dy/dx in polar coordinates?
Tangent and cotangent
Sine and cosine
Sine and tangent
Secant and cosecant
Tags
CCSS.HSF.TF.A.4
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the first example, what is the value of f(theta) when r equals 4?
Pi
Theta
0
4
Tags
CCSS.HSF.TF.A.4
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the slope of the tangent line at the point (4, pi/4) in the first example?
-sqrt(3)/3
0
1
-1
Tags
CCSS.HSF.TF.A.4
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the slope of the tangent line at (4, pi/3) expressed in the first example?
-sqrt(3)/3
-1
0
1
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the second example, what is the expression for r?
4
sin(theta)
1 + 3 sin(theta)
3 cos(theta)
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative f'(theta) when r = 1 + 3 sin(theta)?
3 cos(theta)
3 sin(theta)
sin(theta)
cos(theta)
Tags
CCSS.HSF.TF.A.2
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