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9-12 Algebra 2 Unit 7 Lesson 4

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Lesson 1 Lesson 2 Lesson 3 •Lesson 4 Lesson 5 Lesson 6 Lesson 7 Lesson 8 Lesson 9 Lesson 10 Lesson 11 Lesson 12 Lesson 13 Lesson 14 Lesson 15 Lesson 16 Lesson 17 Lesson 18 Lesson 19 Lesson 20

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Unit 7, Lesson 4

The Unit Circle (Part 2)

Algebra 2

Practice

Problem 1

Angle measures radians, and the coordinates of are about .

<p>A circle with center B at the origin of an x y plane.</p>

The measure of angle is radians. What are the approximate coordinates of ? Explain how you know.
The measure of angle is radians. What are the approximate coordinates of ? Explain how you know.

Problem 2

Give an angle of rotation centered at the origin that sends point to a location whose coordinates satisfy the given conditions.

and
and
and

<p>Circle on a coordinate plane, center at the origin, radius 1. Point P at 1 comma 0.</p>

Problem 3

Lin calculates and finds that it is 1.0085.

Explain why is not on the unit circle.
Is a good estimate for the coordinates of a point on the unit circle? Explain how you know.

Problem 4

The -coordinate of a point, , on the unit circle is 0. If point is the result of rotating the point by radians counterclockwise about the origin, what angle could represent? Select all that apply.

0

Problem 5

ForLesson 2: Revisiting Right Triangles

Here is triangle . is shorter than . Which statements are true? Select all that apply.

<p>Triangle A, B C. Angle C is a right angle.</p>

Problem 6

ForLesson 3: The Unit Circle (Part 1)

Angle measures one radian. The radius of the circle is 1 unit.

What is the length of arc ?
Explain why the length of arc is less than of the full circle.

<p>Unit circle inscribed in a coordinate plane. Point 1 comma 0 is labeled P, Q is a point on the circle in the first quadrant.</p>

Problem 7

ForLesson 3: The Unit Circle (Part 1)

Label these points on the unit circle:

<p>Unit circle inscribed in a coordinate plane. Point 1 comma 0 is labeled P.</p>

is the image of after a rotation with center .
is the image of after a rotation with center .
is the image of after a rotation with center .
is the image of after a rotation with center .