AnswersCommon Core Algebra II A-ICGeometric Series

The Unit Circle Answers

0 verified answers2 views
1
Free Preview

The radius of the circle below intersects the unit circle at . What is the value of tan ?[Not drawn to scale]

Question illustration
A
mc009-4.jpg
Option A
B
mc009-5.jpg
Option B
C
mc009-6.jpg
Option C
D
mc009-7.jpg
Option D
2
Free Preview

The terminal side of an angle measuring radians intersects the unit circle at what point?

Question illustration
A
(StartFraction StartRoot 3 EndRoot Over 2 EndFraction, one-half)
Option A
B
(one-half, StartFraction StartRoot 3 EndRoot Over 2 EndFraction)
Option B
C
(StartFraction StartRoot 3 EndRoot Over 3 EndFraction, one-half)
Option C
D
(one-half, StartFraction StartRoot 3 EndRoot Over 3 EndFraction)
Option D
3

Which of the following best explains why ?

Question illustration
A
The angles do not have the same reference angle.
B
Tangent is positive in the second quadrant and negative in the fourth quadrant.
C
Tangent is negative in the second quadrant and positive in the fourth quadrant.
D
The angles do not have the same reference angle or the same sign.
4

What is the reference angle for a 240° angle?

A
30°
B
60°
C
180°
D
270°
5

Which expression can be used to determine the reference angle for an angle, x, measuring 150°?

A
180 degrees minus x
Option A
B
x minus 180 degrees
Option B
C
360 degrees minus x
Option C
D
x minus 360 degrees
Option D
6

Which of the following is true of the values of x and y in the diagram below?

Question illustration
A
y < x
B
y > x
C
y + x = 1
D
StartFraction y Over x EndFraction = 1
Option D
7

Which equation can be used to determine the reference angle, r, if ?

Question illustration
A
r = theta
Option A
B
r = pi minus theta
Option B
C
r = theta minus pi
Option C
D
r = 2 pi minus theta
Option D
8

Which expression is equivalent to ?

Question illustration
A
sine StartFraction pi Over 6 EndFraction
Option A
B
sine StartFraction 5 pi over 3 EndFraction
Option B
C
sine StartFraction 5 pi over 3 EndFraction
Option C
D
sine StartFraction 11 pi Over 6 EndFraction
Option D
9

What is the value of in the diagram below?

Question illustration
A
Three-fifths
Option A
B
Three-fourths
Option B
C
Four-fifths
Option C
D
Four-thirds
Option D
10

For which value of is ?

Question illustration
A
StartFraction pi Over 2 EndFraction
Option A
B
Pi
Option B
C
StartFraction 3 pi Over 2 EndFraction
Option C
D
2 pi
Option D

Did you find these answers helpful?

More from this Course

Quiz
10 verified answers

Geometric Series

Quiz
10 verified answers

Geometric Series

Quiz
10 verified answers

Geometric Series