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Illustrative Math - Algebra 2 - Unit 6 -Lesson 8

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Last updated about 1 year ago
11 questions
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Question 1
1.

A fan blade spins counterclockwise once per second.

Which of these graphs best depicts the height, h, of P after s seconds? The fan blades are 1 foot long and the height is measured in feet from the center of the fan blades.

Question 2
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Question 3
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Question 4
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Question 5
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Question 6
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Question 7
7.

Do (7,1) and (-5,5) lie on the same circle centered at (0,0)? Explain how you know.

Question 8
8.

The measure of angle O is between 0 and 2\pi radians. Which statements must be true of sin(O) and cos(O)? Select all that apply.

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Question 9
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Question 10
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Question 11
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This lesson is from Illustrative Mathematics. Algebra 1, Unit 6, Lesson 8. Internet. Available from https://curriculum.illustrativemathematics.org/HS/teachers/3/6/8/index.html ; accessed 29/July/2021.

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Which situations are modeled accurately by a periodic function? Select all that apply.
the area of a sheet of paper as a function of the number of times it is folded in half
the vertical height of a point on a rotating wheel as a function of time
the height of a swinging pendulum as a function of time
the number of centimeters in x inches
the height of a ball tossed in the air as a function of time
the distance from the earth to the sun as a function of time
if sin(O)=1, then cos(O)=0
cos^{2}(O)+sin^{2}(O)=1
The point (cos(O),sin(O)) lies on the unit circle.
if sin(O)=0, then cos(O)=1