AnswersCommon Core Algebra II A-ICGeometric Series

Evaluating the Six Trigonometric Functions Answers

0 verified answers
1
Free Preview

Fatima wants to find the value of , given . Which identity would be best for Fatima to use?

Question illustration
A
cosine theta = StartFraction 1 Over secant theta EndFraction
Option A
B
sine squared theta + cosine squared theta = 1
Option B
C
Cosecant theta = StartFraction r Over y EndFraction
Option C
D
1 + cotangent squared theta = cosecant squared theta
Option D
2
Free Preview

If , which expression is equivalent to ?

Question illustration
A
StartFraction 1 Over negative three-eighths EndFraction
Option A
B
Negative three-eighths + 1
Option B
C
StartRoot 1 + StartFraction (Negative eight-thirds) squared EndRoot
Option C
D
(Negative three-eighths) squared + 1
Option D
3

Given that , what is the value of , for ?

Question illustration
A
Negative StartFraction 35 Over 12 EndFraction
Option A
B
Negative StartFraction 12 Over 35 EndFraction
Option B
C
StartFraction 12 Over 35 EndFraction
Option C
D
StartFraction 35 Over 12 EndFraction
Option D
4

The terminal side of an angle in standard position passes through P(–3, –4). What is the value of ?

Question illustration
A
tangent theta = Negative four-thirds
Option A
B
tangent theta = Negative three-fourths
Option B
C
Tangent theta = three-fourths
Option C
D
Tangent theta = four-thirds
Option D
5

If , which of the following represents an approximate value of , for ?

Question illustration
A
0.7660
B
0.8392
C
1.1916
D
1.4198
6

Based on Pythagorean identities, which equation is true?

A
sine squared theta minus 1 = cosine squared theta
Option A
B
secant squared theta minus tangent squared theta = negative 1
Option B
C
negative cosine squared theta minus 1 = negative sine squared theta
Option C
D
cotangent squared theta minus cosecant squared theta = negative 1
Option D
7

The point P(x, y) lies on the terminal side of an angle = in standard position. What are the signs of the values of x and y?

Question illustration
A
Both x and y are positive.
B
Both x and y are negative.
C
x is positive, and y is negative.
D
x is negative, and y is positive.
8

Which Pythagorean identity is correct?

A
sine squared (theta) + 1 = cosecant squared (theta)
Option A
B
tangent squared (theta) + 1 = secant squared (theta)
Option B
C
1 minus cotangent squared (theta) = cosecant squared (theta)
Option C
D
1 minus cosine squared (theta) = tangent squared (theta)
Option D
9

The terminal side of an angle in standard position passes through P(15, –8). What is the value of ?

Question illustration
A
sine theta = fifteen-seventeenths
Option A
B
sine theta = negative eight-seventeenths
Option B
C
sine theta = eight-seventeenths
Option C
D
sine theta = fifteen-seventeenths
Option D
10

The point P(x, y) lies on the terminal side of an angle = –60° in standard position. What are the signs of the values of x and y?

Question illustration
A
Both x and y are positive.
B
Both x and y are negative.
C
x is positive, and y is negative.
D
x is negative, and y is positive.

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