MAT 122 Miami University Algebra Sum and Difference Formulas Problems

10/28/21, 6:12 PMHW 5.4 – MAT 122 Precalculus Mathematics, Fall 21, 11814, Fall 2021 | WebAssign
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MAT 122 Precalculus Mathematics, Fall 21, 11814, Fall 2021
HW 5.4 (Homework)
INSTRUCTOR
Sarah Locke
Eastern Kentucky University
Current Score
QUESTION
1
2
3
4
5
6
7
8
9
10
11
POINTS
–/2
–/2
–/3
–/3
–/1
–/1
–/1
–/20
–/1
–/3
–/1
TOTAL SCORE
–/38
0.0%
Due Date
THU, OCT 28, 2021
11:59 PM EDT
Request Extension
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1/9
10/28/21, 6:12 PM
HW 5.4 – MAT 122 Precalculus Mathematics, Fall 21, 11814, Fall 2021 | WebAssign
Assignment Submission & Scoring
Assignment Submission
For this assignment, you submit answers by question parts. The number of submissions remaining
for each question part only changes if you submit or change the answer.
Assignment Scoring
Your best submission for each question part is used for your score.
1.
[–/2 Points]
MY NOTES
DETAILS
LARPCALC11 5.4.010.
ASK YOUR TEACHER
Find the exact value of each expression.
(a)
sin
43𝜋 1𝜋
−
6
3
(b)
sin
43𝜋
1𝜋
− sin
6
3
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2.
HW 5.4 – MAT 122 Precalculus Mathematics, Fall 21, 11814, Fall 2021 | WebAssign
[–/2 Points]
MY NOTES
DETAILS
LARPCALC11 5.4.011.
ASK YOUR TEACHER
Find the exact value of each expression.
(a)
sin(135° − 30°)
(b)
sin 135° − cos 30°
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3.
HW 5.4 – MAT 122 Precalculus Mathematics, Fall 21, 11814, Fall 2021 | WebAssign
[–/3 Points]
MY NOTES
DETAILS
LARPCALC11 5.5.014.
ASK YOUR TEACHER
Find the exact values of the sine, cosine, and tangent of the angle.
7𝜋 𝜋 𝜋
= +
12 3 4
sin
7𝜋
12
=
cos
7𝜋
12
=
tan
7𝜋
12
=
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4.
HW 5.4 – MAT 122 Precalculus Mathematics, Fall 21, 11814, Fall 2021 | WebAssign
[–/3 Points]
MY NOTES
DETAILS
LARPCALC11 5.4.021.
ASK YOUR TEACHER
Find the exact values of the sine, cosine, and tangent of the angle.
13𝜋
12
5.
sin
13𝜋
12
=
cos
13𝜋
12
=
tan
13𝜋
12
=
[–/1 Points]
MY NOTES
DETAILS
LARPCALC11 5.4.030.
ASK YOUR TEACHER
Write the expression as the sine, cosine, or tangent of an angle.
cos 2𝜋 cos 6𝜋 − sin 2𝜋 sin 6𝜋
7
5
7
5
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6.
HW 5.4 – MAT 122 Precalculus Mathematics, Fall 21, 11814, Fall 2021 | WebAssign
[–/1 Points]
MY NOTES
DETAILS
LARPCALC11 5.4.032.
ASK YOUR TEACHER
Write the expression as the sine, cosine, or tangent of an angle.
sin 50° cos 15° + cos 50° sin 15°
7.
[–/1 Points]
MY NOTES
DETAILS
LARPCALC11 5.4.038.
ASK YOUR TEACHER
Find the exact value of the expression.
cos 𝜋 cos 3𝜋 − sin 𝜋 sin 3𝜋
16
16
16
16
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8.
HW 5.4 – MAT 122 Precalculus Mathematics, Fall 21, 11814, Fall 2021 | WebAssign
[–/20 Points]
MY NOTES
DETAILS
LARPCALC11 5.4.044.MI.SA.
ASK YOUR TEACHER
This question has several parts that must be completed sequentially. If you skip a part of the question, you will not
receive any points for the skipped part, and you will not be able to come back to the skipped part.
Tutorial Exercise
Find the exact value of the trigonometric function given that sin u = 5/13 and cos v = -3/5. (Both u and v are in
Quadrant II.)
cos(u − v)
9.
[–/1 Points]
MY NOTES
DETAILS
LARPCALC11 5.4.050.
ASK YOUR TEACHER
Find the exact value of the trigonometric function given that sin u = −
Quadrant III.)
9
3
and cos v = − . (Both u and v are in
41
5
sin(u + v)
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7/9
10/28/21, 6:12 PM
10.
HW 5.4 – MAT 122 Precalculus Mathematics, Fall 21, 11814, Fall 2021 | WebAssign
[–/3 Points]
DETAILS
MY NOTES
LARPCALC11 5.4.061.
ASK YOUR TEACHER
Verify the identity. (Simplify at each step.)
sin
sin
𝜋
1
+ x = (cos(x) +
6
2
𝜋
sin
6
3 sin(x))
𝜋
+x =
6
+ cos
1
2
=
𝜋
sin(x)
6
+
sin(x)
=
1
(cos(x) +
2
3 sin(x))
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10/28/21, 6:12 PM
11.
HW 5.4 – MAT 122 Precalculus Mathematics, Fall 21, 11814, Fall 2021 | WebAssign
[–/1 Points]
MY NOTES
DETAILS
LARPCALC11 5.4.085.
ASK YOUR TEACHER
Find all solutions of the equation in the interval [0, 2𝜋). (Enter your answers as a comma-separated list.)
cos x +
x=
3𝜋
3𝜋
− cos x −
=1
4
4
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10/28/21, 6:13 PM
HW 5.5 – MAT 122 Precalculus Mathematics, Fall 21, 11814, Fall 2021 | WebAssign
abdullah_alrifai@mymail.eku.edu
(Sign out)
EN
Home
My Assignments
Grades
Communication
Calendar
My eBooks
MAT 122 Precalculus Mathematics, Fall 21, 11814, Fall 2021
HW 5.5 (Homework)
INSTRUCTOR
Sarah Locke
Eastern Kentucky University
Current Score
QUESTION
1
2
3
4
5
6
7
8
9
10
POINTS
–/1
–/1
–/1
–/3
–/3
–/4
–/2
–/1
–/6
–/2
TOTAL SCORE
–/24
0.0%
Due Date
FRI, OCT 29, 2021
11:59 PM EDT
Request Extension
Assignment Submission & Scoring
Assignment Submission
For this assignment, you submit answers by question parts. The number of submissions remaining
for each question part only changes if you submit or change the answer.
https://www.webassign.net/web/Student/Assignment-Responses/last?dep=28006831
1/9
10/28/21, 6:13 PM
HW 5.5 – MAT 122 Precalculus Mathematics, Fall 21, 11814, Fall 2021 | WebAssign
Assignment Scoring
Your best submission for each question part is used for your score.
1.
[–/1 Points]
MY NOTES
DETAILS
LARPCALC11 5.5.005.
ASK YOUR TEACHER
Solve the equation. (Find all solutions of the equation in the interval [0, 2𝜋). Enter your answers as a
comma-separated list.)
sin(2x) − sin(x) = 0
x=
2.
[–/1 Points]
MY NOTES
DETAILS
LARPCALC11 5.5.008.
ASK YOUR TEACHER
Solve the equation. (Find all solutions of the equation in the interval [0, 2𝜋). Enter your answers as a
comma-separated list.)
cos(2x) + sin(x) = 0
x=
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10/28/21, 6:13 PM
3.
[–/1 Points]
MY NOTES
HW 5.5 – MAT 122 Precalculus Mathematics, Fall 21, 11814, Fall 2021 | WebAssign
DETAILS
LARPCALC11 5.5.013.
ASK YOUR TEACHER
Use a double-angle formula to rewrite the expression.
14 sin x cos x
4.
[–/3 Points]
MY NOTES
DETAILS
LARPCALC11 5.5.021.
ASK YOUR TEACHER
Use the given conditions to find the exact values of sin(2u), cos(2u), and tan(2u) using the double-angle
formulas.
tan(u) = 5/13,
0 < u < 𝜋/2 sin(2u) = cos(2u) = tan(2u) = https://www.webassign.net/web/Student/Assignment-Responses/last?dep=28006831 3/9 10/28/21, 6:13 PM 5. [–/3 Points] MY NOTES HW 5.5 - MAT 122 Precalculus Mathematics, Fall 21, 11814, Fall 2021 | WebAssign DETAILS LARPCALC11 5.5.033. ASK YOUR TEACHER Use the half-angle formulas to determine the exact values of the sine, cosine, and tangent of the angle. 15° sin(15°) = cos(15°) = tan(15°) = https://www.webassign.net/web/Student/Assignment-Responses/last?dep=28006831 4/9 10/28/21, 6:13 PM 6. HW 5.5 - MAT 122 Precalculus Mathematics, Fall 21, 11814, Fall 2021 | WebAssign [–/4 Points] MY NOTES DETAILS LARPCALC11 5.5.040. ASK YOUR TEACHER Use the given conditions. sin(u) = 9 41 , 𝜋 2