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10/28/21, 6:12 PM HW 5.4 – 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 5.4 (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 https://www.webassign.net/web/Student/Assignment-Responses/last?dep=28006817 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 https://www.webassign.net/web/Student/Assignment-Responses/last?dep=28006817 2/9 10/28/21, 6:12 PM 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° https://www.webassign.net/web/Student/Assignment-Responses/last?dep=28006817 3/9 10/28/21, 6:12 PM 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 = https://www.webassign.net/web/Student/Assignment-Responses/last?dep=28006817 4/9 10/28/21, 6:12 PM 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 https://www.webassign.net/web/Student/Assignment-Responses/last?dep=28006817 5/9 10/28/21, 6:12 PM 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 https://www.webassign.net/web/Student/Assignment-Responses/last?dep=28006817 6/9 10/28/21, 6:12 PM 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) https://www.webassign.net/web/Student/Assignment-Responses/last?dep=28006817 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)) https://www.webassign.net/web/Student/Assignment-Responses/last?dep=28006817 8/9 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 Submit Assignment Home Save Assignment Progress My Assignments Request Extension Copyright © 1998 – 2021 Cengage Learning, Inc. All Rights Reserved https://www.webassign.net/web/Student/Assignment-Responses/last?dep=28006817 TERMS OF USE PRIVACY 9/9 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= https://www.webassign.net/web/Student/Assignment-Responses/last?dep=28006831 2/9 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
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