
Polar Curves and Trigonometric Functions
Interactive Video
•
Mathematics, Physics, Science
•
9th - 12th Grade
•
Practice Problem
•
Hard
Patricia Brown
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the brute-force method mentioned for plotting polar curves?
Using a graphing calculator
Plotting a series of points by calculating R for various θ values
Drawing freehand based on intuition
Using a computer software to simulate the curve
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the value of R when θ is 0 for the curve R = 1 + cos(θ)?
3
0
1
2
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How can the unit circle help in computing cosine values for angles?
By providing a visual representation of angles
By simplifying the calculation of tangent values
By allowing direct measurement of angles
By forming triangles whose sides represent cosine and sine values
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the cosine of π/4 according to the unit circle method?
1
1/√2
0
-1/√2
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the recommended method for plotting points in polar coordinates?
Using a ruler and compass
Plotting directly on a Cartesian grid
Using a connect-the-dots approach in polar coordinates
Converting polar coordinates to Cartesian coordinates
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What happens to the radius as θ increases from 0 to π/2 in the polar curve R = 1 + cos(θ)?
The radius oscillates
The radius decreases
The radius remains constant
The radius increases
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the radius when θ is π for the curve R = 1 + cos(θ)?
0
1
2
3
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