5/12/22, 8:09 AM Exam 3 (Final Exam) – MATH 175, section 1871, Spring 2022 | WebAssign
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Use the One-to-One Property to solve the equation for x. (Enter your answers as a comma-separated list.)
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Condense the expression to the logarithm of a single quantity.
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Condense the expression to the logarithm of a single quantity.
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e
x2 − 3 = e
2x
x =
5 log5(x) + log5(y) − 3 log5(z)
1
3
[log3(x + 1) + 6 log3(x − 1)] + 18 log3 x
1
6
1. [–/5 Points] DETAILS LARPCALC10 3.1.047. MY NOTES ASK YOUR TEACHER
2. [–/5 Points] DETAILS LARPCALC10 3.3.070. MY NOTES ASK YOUR TEACHER
3. [–/5 Points] DETAILS LARPCALC10 3.3.076. 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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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 ? =
cos ? =
tan ? =
csc ? =
sec ? =
cot ? =
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(−8, −3)
4. [–/6 Points] DETAILS LARPCALC10 4.4.015. 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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Solve the exponential equation algebraically. Approximate the result to three decimal places. (Enter your answers as a comma-separated
list.)
x =
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Complete the equation.
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8 4
5 − 3x + 17 = 41
arccos = arctan
, 4 < x < 8
x − 4
4
5. [–/5 Points] DETAILS LARPCALC10 3.4.036. MY NOTES ASK YOUR TEACHER
6. [–/5 Points] DETAILS LARPCALC10 4.7.078. 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 given function value and the trigonometric identities to find the exact value of each indicated trigonometric function.
(a) sec(?)
(b) sin(?)
(c) cot(?)
(d) sin(90° − ?)
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(0° ≤ ? ≤ 90°, 0 ≤ ? ≤ ?/2)
cos(?) =
8
15
7. [–/5 Points] DETAILS LARPCALC10 4.3.042. 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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Find the exact values of the six trigonometric functions of each angle ?.
(a)
sin(?) =
cos(?) =
tan(?) =
csc(?) =
sec(?) =
cot(?) =
8. [–/12 Points] DETAILS LARPCALC10 4.4.011. 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(?) =
cos(?) =
tan(?) =
csc(?) =
sec(?) =
cot(?) =
Show My Work (Optional)
5/12/22, 8:09 AM Exam 3 (Final Exam) – MATH 175, section 1871, Spring 2022 | WebAssign
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Find the exact value of the expression, if possible. (If not possible, enter IMPOSSIBLE.)
Show My Work (Optional)
cot arctan −
7
9
9. [–/5 Points] DETAILS LARPCALC10 4.7.057. 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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Find the exact values of the six trigonometric functions of each angle ?.
(a)
(b)
sin(?) =
cos(?) =
tan(?) =
csc(?) =
sec(?) =
cot(?) =
10. [–/12 Points] DETAILS LARPCALC10 4.4.010. 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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Show My Work (Optional)
sin(?) =
cos(?) =
tan(?) =
csc(?) =
sec(?) =
cot(?) =
5/12/22, 8:09 AM Exam 3 (Final Exam) – MATH 175, section 1871, Spring 2022 | WebAssign
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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 ? =
cos ? =
tan ? =
csc ? =
sec ? =
cot ? =
Show My Work (Optional)
3 , −2
1
2
15
11. [–/6 Points] DETAILS LARPCALC10 4.4.018. 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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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, difference, and/or constant multiple of logarithms. (Assume the
variable is positive.)
Show My Work (Optional)
1 − 2 sin
2
(x) + sin
4
(x)
[6 ln(x + 4) + ln(x) − ln(x
6 − 3)]
1
2
ln , x > 1
x
2 − 1
x
7
12. [–/7 Points] DETAILS LARPCALC10 5.1.025. MY NOTES ASK YOUR TEACHER
13. [–/5 Points] DETAILS LARPCALC10 3.3.073. MY NOTES ASK YOUR TEACHER
14. [–/5 Points] DETAILS LARPCALC10 3.3.052. 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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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)
+
7
1 + cos x
7
1 − cos x
e
2x − 6e
x + 8 = 0
15. [–/7 Points] DETAILS LARPCALC10 5.1.043. MY NOTES ASK YOUR TEACHER
16. [–/5 Points] DETAILS LARPCALC10 3.4.042. 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 trigonometric identities to transform the left side of the equation into the right side (0 < ? < ?/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 =
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(sec ? + tan ?)(sec ? − tan ?) = 1
(sec ? + tan ?)(sec ? − tan ?) =
sec
2 ? −
= 1
=
1 −
cos
2 ?
=
cos
2 ?
5
x2 = 8
2 − x
17. [–/5 Points] DETAILS LARPCALC10 4.3.049. MY NOTES ASK YOUR TEACHER
18. [–/5 Points] DETAILS LARPCALC10 3.4.040. 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, difference, 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
z3
arccos cos −
9?
2
Submit Assignment Save Assignment Progress
19. [–/5 Points] DETAILS LARPCALC10 3.3.058. MY NOTES ASK YOUR TEACHER
20. [–/5 Points] DETAILS LARPCALC10 4.7.050. MY NOTES ASK YOUR TEACHER
