Let sin 0=u in the equation. Pri 9 sin 20-6 sin 0- 2 = 0 9u? - 6u - 2 = 0 Substitute u for sin 0. The solutions to a quadratic equation in the form au? + bu +c= 0 are shown below. -b+/b? - 4ac 2a u= To use the quadratic formula to solve for u= sin 0, first recognize the values that correspond to a 5, and c in the equation 9u? - 6u - 2 = 0. a = 9, b= - 6, and c = - 2 Solve for u. 1= -(-6)±/(-6) - 4(9)( - 2) u = 2(9) a 0.911 and - 0.244 Now, use u= sin 0 and find the corresponding values of 0. Begin with sin 0= 0.911. 0 = 65.6° and 114.4° (rounded to the nearest tenth)
Let sin 0=u in the equation. Pri 9 sin 20-6 sin 0- 2 = 0 9u? - 6u - 2 = 0 Substitute u for sin 0. The solutions to a quadratic equation in the form au? + bu +c= 0 are shown below. -b+/b? - 4ac 2a u= To use the quadratic formula to solve for u= sin 0, first recognize the values that correspond to a 5, and c in the equation 9u? - 6u - 2 = 0. a = 9, b= - 6, and c = - 2 Solve for u. 1= -(-6)±/(-6) - 4(9)( - 2) u = 2(9) a 0.911 and - 0.244 Now, use u= sin 0 and find the corresponding values of 0. Begin with sin 0= 0.911. 0 = 65.6° and 114.4° (rounded to the nearest tenth)
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE:
1. Give the measures of the complement and the supplement of an angle measuring 35°.
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Topic Video
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Kindly expound sin theta=.911 means that theta equals 65.6 and 114.4
![Let sin 0 = u in the equation.
Print
9 sin20 - 6 sin 0 – 2 = 0
9u? - 6u - 2 = 0
Substitute u for sin 0.
The solutions to a quadratic equation in the form au? + bu +c = 0 are shown below.
- b+ /b? - 4ac
u=
2a
To use the quadratic formula to solve for u= sin 0, first recognize the values that correspond to a,
b, and c in the equation 9u? - 6u - 2 = 0.
a = 9, b= - 6, andc= - 2
Solve for u.
u = -(-6) +V(- 6)² - 4(9)( – 2)
2(9)
* 0.911 and - 0.244
Now, use u = sin 0 and find the corresponding values of 0. Begin with sin 0 = 0.911.
e = 65.6° and 114.4° (rounded to the nearest tenth)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff8311114-a7cb-49e3-b44e-1e05de4bc29a%2F1dde8363-7487-45ad-a890-6f54ec34dd1e%2Fuwuxn8_processed.png&w=3840&q=75)
Transcribed Image Text:Let sin 0 = u in the equation.
Print
9 sin20 - 6 sin 0 – 2 = 0
9u? - 6u - 2 = 0
Substitute u for sin 0.
The solutions to a quadratic equation in the form au? + bu +c = 0 are shown below.
- b+ /b? - 4ac
u=
2a
To use the quadratic formula to solve for u= sin 0, first recognize the values that correspond to a,
b, and c in the equation 9u? - 6u - 2 = 0.
a = 9, b= - 6, andc= - 2
Solve for u.
u = -(-6) +V(- 6)² - 4(9)( – 2)
2(9)
* 0.911 and - 0.244
Now, use u = sin 0 and find the corresponding values of 0. Begin with sin 0 = 0.911.
e = 65.6° and 114.4° (rounded to the nearest tenth)
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