Unit Circle

Unit Circle

12th Grade

16 Qs

quiz-placeholder

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Unit Circle

Unit Circle

Assessment

Quiz

Mathematics

12th Grade

Practice Problem

Hard

CCSS
HSF.TF.A.2, HSF.TF.A.1, HSG.CO.A.4

Standards-aligned

Created by

Anthony Clark

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16 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Convert the following to degrees:
-8π/5 radians

-288⁰

-260⁰

-275⁰

Tags

CCSS.HSF.TF.A.1

2.

MATCH QUESTION

1 min • 5 pts

Media Image

Match the following vocabulary related to the Unit Circle

radian

the ratio of the arc length formed by an angle divided by the r of that circle

arc length

states that the square of the cosine of a given angle + the square of the sine of that angle = 1

quadrantal angle

an angle whose terminal sides lies on an axis

radian measure

the length of the curve formed by an arc

Pythagorean Identity

measure of a central angle of a circle that intercepts an arc = in length to the r of that circle

Tags

CCSS.HSF.TF.A.1

3.

LABELLING QUESTION

1 min • 3 pts

Now, for Quadrant I of the Unit Circle, please complete the coordinates before we move onto finish Degrees to Radians. Recall the importance of Desmos. Recall the importance of thinking in terms of two number lines intersecting at, "(0, 0)."

b
a
c

Tags

CCSS.HSF.TF.A.2

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Identify the Positive angle in both radians and degrees that represent point D.

Tags

CCSS.HSF.TF.A.2

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Identify the Positive angle in both radians and degrees that represent point I.

Tags

CCSS.HSF.TF.A.2

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

What is tan 90°?

1
undefined
0
½

Tags

CCSS.HSF.TF.A.2

7.

MATCH QUESTION

1 min • 5 pts

Match the following basic trigonometry vocabulary with their definitions:

unit circle

a circle with a center at (0,0)

coterminal angles

the side of an angle at which rotation ends

terminal side

the position of an angle havin the vertex at the origin& the initial side along the positive x-axis

standard position

the side of a right triangle opposite the right angle

hypotenuse

description of positive and negative angles in standard position sharing the same terminal side

Tags

CCSS.HSG.CO.A.4

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