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5/12/22, 8:09 AM Exam 3 (Final Exam) – MATH 175, section 1871, Spring 2022 | WebAssign

https://www.webassign.net/web/Student/Assignment-Responses/last?dep=29213673 2/15

Use the One-to-One Property to solve the equation for x. (Enter your answers as a comma-separated list.)

Show My Work (Optional)

Condense the expression to the logarithm of a single quantity.

Show My Work (Optional)

Condense the expression to the logarithm of a single quantity.

Show My Work (Optional)

e
x
2
âˆ’ 3 = e2x

x =

5 log5(x) +Â  Â log5(y) âˆ’ 3 log5(z)
1

3

[log3(x + 1) + 6 log3(x âˆ’ 1)] + 18 log3 x
1

6

1. [â€“/5 Points] LARPCALC10 3.1.047.DETAILS MY NOTES ASK YOUR TEACHER

2. [â€“/5 Points] LARPCALC10 3.3.070.DETAILS MY NOTES ASK YOUR TEACHER

3. [â€“/5 Points] LARPCALC10 3.3.076.DETAILS MY NOTES ASK YOUR TEACHER

5/12/22, 8:09 AM Exam 3 (Final Exam) – MATH 175, section 1871, Spring 2022 | WebAssign

https://www.webassign.net/web/Student/Assignment-Responses/last?dep=29213673 3/15

The point is on the terminal side of an angle in standard position. Find the exact values of the six trigonometric functions of the angle.

sin ðœƒ =

cos ðœƒ =

tan ðœƒ =

csc ðœƒ =

sec ðœƒ =

cot ðœƒ =

Show My Work (Optional)

(âˆ’8, âˆ’3)

4. [â€“/6 Points] LARPCALC10 4.4.015.DETAILS MY NOTES ASK YOUR TEACHER

5/12/22, 8:09 AM Exam 3 (Final Exam) – MATH 175, section 1871, Spring 2022 | WebAssign

https://www.webassign.net/web/Student/Assignment-Responses/last?dep=29213673 4/15

Solve the exponential equation algebraically. Approximate the result to three decimal places. (Enter your answers as a comma-separated

list.)

x =

Show My Work (Optional)

Complete the equation.

Show My Work (Optional)

8 45 âˆ’ 3x Â + 17 = 41

arccosÂ  Â = arctan

, 4 < x < 8

x âˆ’ 4

4

5. [â€“/5 Points] LARPCALC10 3.4.036.DETAILS MY NOTES ASK YOUR TEACHER

6. [â€“/5 Points] LARPCALC10 4.7.078.DETAILS MY NOTES ASK YOUR TEACHER

5/12/22, 8:09 AM Exam 3 (Final Exam) – MATH 175, section 1871, Spring 2022 | WebAssign

https://www.webassign.net/web/Student/Assignment-Responses/last?dep=29213673 5/15

Use the given function value and the trigonometric identities to ï¿½nd the exact value of each indicated trigonometric function.

(a) sec(ð›½)

(b) sin(ð›½)

(c) cot(ð›½)

(d) sin(90Â° âˆ’ ð›½)

Show My Work (Optional)

(0Â° â‰¤ ð›½ â‰¤ 90Â°, 0 â‰¤ ð›½ â‰¤ ðœ‹/2)

cos(ð›½) =Â
8

15

7. [â€“/5 Points] LARPCALC10 4.3.042.DETAILS MY NOTES ASK YOUR TEACHER

5/12/22, 8:09 AM Exam 3 (Final Exam) – MATH 175, section 1871, Spring 2022 | WebAssign

https://www.webassign.net/web/Student/Assignment-Responses/last?dep=29213673 6/15

Find the exact values of the six trigonometric functions of each angle ðœƒ.

(a)

sin(ðœƒ) =

cos(ðœƒ) =

tan(ðœƒ) =

csc(ðœƒ) =

sec(ðœƒ) =

cot(ðœƒ) =

8. [â€“/12 Points] LARPCALC10 4.4.011.DETAILS MY NOTES ASK YOUR TEACHER

5/12/22, 8:09 AM Exam 3 (Final Exam) – MATH 175, section 1871, Spring 2022 | WebAssign

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(b)

sin(ðœƒ) =

cos(ðœƒ) =

tan(ðœƒ) =

csc(ðœƒ) =

sec(ðœƒ) =

cot(ðœƒ) =

Show My Work (Optional)

5/12/22, 8:09 AM Exam 3 (Final Exam) – MATH 175, section 1871, Spring 2022 | WebAssign

https://www.webassign.net/web/Student/Assignment-Responses/last?dep=29213673 8/15

Find the exact value of the expression, if possible. (If not possible, enter IMPOSSIBLE.)

Show My Work (Optional)

cot arctan âˆ’
7

9

9. [â€“/5 Points] LARPCALC10 4.7.057.DETAILS MY NOTES ASK YOUR TEACHER

5/12/22, 8:09 AM Exam 3 (Final Exam) – MATH 175, section 1871, Spring 2022 | WebAssign

https://www.webassign.net/web/Student/Assignment-Responses/last?dep=29213673 9/15

Find the exact values of the six trigonometric functions of each angle ðœƒ.

(a)

(b)

sin(ðœƒ) Â =Â

cos(ðœƒ) Â =Â

tan(ðœƒ) Â =Â

csc(ðœƒ) Â =Â

sec(ðœƒ) Â =Â

cot(ðœƒ) Â =Â

10. [â€“/12 Points] LARPCALC10 4.4.010.DETAILS MY NOTES ASK YOUR TEACHER

5/12/22, 8:09 AM Exam 3 (Final Exam) – MATH 175, section 1871, Spring 2022 | WebAssign

https://www.webassign.net/web/Student/Assignment-Responses/last?dep=29213673 10/15

Show My Work (Optional)

sin(ðœƒ) Â =Â

cos(ðœƒ) Â =Â

tan(ðœƒ) Â =Â

csc(ðœƒ) Â =Â

sec(ðœƒ) Â =Â

cot(ðœƒ) Â =Â

5/12/22, 8:09 AM Exam 3 (Final Exam) – MATH 175, section 1871, Spring 2022 | WebAssign

https://www.webassign.net/web/Student/Assignment-Responses/last?dep=29213673 11/15

The point is on the terminal side of an angle in standard position. Find the exact values of the six trigonometric functions of the angle.

sin ðœƒ =

cos ðœƒ =

tan ðœƒ =

csc ðœƒ =

sec ðœƒ =

cot ðœƒ =

Show My Work (Optional)

3 , âˆ’2
1

2
15

11. [â€“/6 Points] LARPCALC10 4.4.018.DETAILS MY NOTES ASK YOUR TEACHER

5/12/22, 8:09 AM Exam 3 (Final Exam) – MATH 175, section 1871, Spring 2022 | WebAssign

https://www.webassign.net/web/Student/Assignment-Responses/last?dep=29213673 12/15

Factor the expression. Use the fundamental identities to simplify, if necessary. (There is more than one correct form of each answer.)

Show My Work (Optional)

Condense the expression to the logarithm of a single quantity.

Show My Work (Optional)

Use the properties of logarithms to expand the expression as a sum, diï¿½erence, and/or constant multiple of logarithms. (Assume the

variable is positive.)

Show My Work (Optional)

1 âˆ’ 2 sin2(x) + sin4(x)

[6 ln(x + 4) + ln(x) âˆ’ ln(x6 âˆ’ 3)]
1

2

ln , x > 1
x
2 âˆ’ 1

x
7

12. [â€“/7 Points] LARPCALC10 5.1.025.DETAILS MY NOTES ASK YOUR TEACHER

13. [â€“/5 Points] LARPCALC10 3.3.073.DETAILS MY NOTES ASK YOUR TEACHER

14. [â€“/5 Points] LARPCALC10 3.3.052.DETAILS MY NOTES ASK YOUR TEACHER

5/12/22, 8:09 AM Exam 3 (Final Exam) – MATH 175, section 1871, Spring 2022 | WebAssign

https://www.webassign.net/web/Student/Assignment-Responses/last?dep=29213673 13/15

Perform the addition or subtraction and use the fundamental identities to simplify. There is more than one correct form of the answer.

Show My Work (Optional)

Solve the exponential equation algebraically. Approximate the result to three decimal places. (Enter your answers as a comma-separated

list.)

x =

Show My Work (Optional)

Â +Â
7

1 + cos x

7

1 âˆ’ cos x

e
2x âˆ’ 6ex + 8 = 0

15. [â€“/7 Points] LARPCALC10 5.1.043.DETAILS MY NOTES ASK YOUR TEACHER

16. [â€“/5 Points] LARPCALC10 3.4.042.DETAILS MY NOTES ASK YOUR TEACHER

5/12/22, 8:09 AM Exam 3 (Final Exam) – MATH 175, section 1871, Spring 2022 | WebAssign

https://www.webassign.net/web/Student/Assignment-Responses/last?dep=29213673 14/15

Use trigonometric identities to transform the left side of the equation into the right side (0 < ðœƒ < ðœ‹/2).

Show My Work (Optional)

Solve the exponential equation algebraically. Approximate the result to three decimal places. (Enter your answers as a comma-separated

list.)

x =

Show My Work (Optional)

(sec ðœƒ + tan ðœƒ)(sec ðœƒ âˆ’ tan ðœƒ) = 1

(sec ðœƒ + tan ðœƒ)(sec ðœƒ âˆ’ tan ðœƒ) Â =Â

sec2 ðœƒ âˆ’

Â =Â  1

=

1 âˆ’

cos2 ðœƒ

=

cos2 ðœƒ

5x
2
= 82 âˆ’ x

17. [â€“/5 Points] LARPCALC10 4.3.049.DETAILS MY NOTES ASK YOUR TEACHER

18. [â€“/5 Points] LARPCALC10 3.4.040.DETAILS MY NOTES ASK YOUR TEACHER

5/12/22, 8:09 AM Exam 3 (Final Exam) – MATH 175, section 1871, Spring 2022 | WebAssign

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Use the properties of logarithms to expand the expression as a sum, diï¿½erence, and/or constant multiple of logarithms. (Assume all

variables are positive.)

Show My Work (Optional)

Find the exact value of the expression, if possible. (If not possible, enter IMPOSSIBLE.)

Show My Work (Optional)

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log2 x
4

y

z
3

arccos cos âˆ’
9ðœ‹

2

Submit Assignment Save Assignment Progress

19. [â€“/5 Points] LARPCALC10 3.3.058.DETAILS MY NOTES ASK YOUR TEACHER

20. [â€“/5 Points] LARPCALC10 4.7.050.DETAILS MY NOTES ASK YOUR TEACHER

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