AnswersGA-Advanced Algebra Concepts and Connections CREvaluating the Six Trigonometric Functions

Evaluating the Six Trigonometric Functions Answers

31 verified answers5 views
1
Free Preview

Angle θ is in standard position. If (8, -15) is on the terminal ray of angle θ, find the values of the trigonometric functions.

Answers:
cos(θ) =:8/17
tan(θ) =:-15/8
csc(θ) =:-17/15
sec(θ) =:17/8
cot(θ) =:-8/15
2
Free Preview

-15/8-15/178/178

A
-15/8
B
-15/17
C
8/17
D
8
3

-15/8-15/178/17-8/15

A
-15/8
B
-15/17
C
8/17
D
-8/15
4

-15/17-17/1517/15-17/8

A
-15/17
B
-17/15
C
17/15
D
-17/8
5

-8/17-15/178/1717/8

A
-8/17
B
-15/17
C
8/17
D
17/8
6

-15/8-15/17-8/158/17

A
-15/8
B
-15/17
C
-8/15
D
8/17
7

-15/8-15/178/17-15

A
-15/8
B
-15/17
C
8/17
D
-15
8

Which value(s) are incorrect?

A
Option
B
Option
C
Option
D
Option
E
Option
F
Option
9

cosine (theta) = StartFraction StartRoot 2 EndRoot Over 2 EndFraction , and StartFraction 3 pi Over 2 EndFraction less-than theta less-than 2 pi, evaluation sine (theta) and tangent (theta)

Question illustration
A
Option
B
Option
C
Option
D
Option
10

Use the identity sin²(A) + cos²(A) = 1tan²(A) + 1 = sec²(A)1 + cot²(A) = csc²(A)

A
sin²(A) + cos²(A) = 1
B
tan²(A) + 1 = sec²(A)
C
1 + cot²(A) = csc²(A)
11

Negative StartFraction 2 StartRoot 2 EndRoot Over 3 EndFraction

Question illustration
A
Negative StartFraction 2 StartRoot 2 EndRoot Over 3 EndFraction
Option A
B
Negative four-thirds
Option B
C
Four-thirds
Option C
D
StartFraction 2 StartRoot 2 EndRoot Over 3 EndFraction
Option D
12

-15/8✔ -15/178/17-15

A
-15/8
B
-15/17
C
8/17
D
-15
13

Question text not available

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
14

Question text not available

Question illustration
Answer:

-1

15

Negative StartFraction 2 StartRoot 2 EndRoot Over 3 EndFraction

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
16

Question text not available

Answer:

To find the values of the six trigonometric functions for the angle θ with the terminal side passing through (5, –2), first identify the coordinates x = 5 and y = –2. Since the x-coordinate is positive and the y-coordinate is negative, the point is in Quadrant IV. Next, calculate the radius (r) using the Pythagorean theorem: r = √(5² + (–2)²) = √(25 + 4) = √29. Then apply the trigonometric definitions: sin(θ) = y/r = –2/√29 = –2√29/29 cos(θ) = x/r = 5/√29 = 5√29/29 tan(θ) = y/x = –2/5 csc(θ) = r/y = –√29/2 sec(θ) = r/x = √29/5 cot(θ) = x/y = –5/2

17

Which value(s) are incorrect?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
E
Option
Option E
F
Option
Option F
18

Solving the identity, tan(A) = _____.

A
Option
Option A
B
Option
Option B
C
Option
Option C
19

Use the identity sin²(A) + cos²(A) = 1✔ tan²(A) + 1 = sec²(A)1 + cot²(A) = csc²(A)

A
sin²(A) + cos²(A) = 1
B
✔ tan²(A) + 1 = sec²(A)
C
1 + cot²(A) = csc²(A)
20

tangent (theta) =

Question illustration
Answer:

-1

Did you find these answers helpful?

More from this Course

Assignment
25 verified answers

Assignment

Assignment
31 verified answers

Evaluating the Six Trigonometric Functions

Assignment
31 verified answers

Evaluating the Six Trigonometric Functions