se a calculator to find to the nearest tenth of the degree, if 0° < 0 < 360° and s0= -0.8910 with in QIII.
se a calculator to find to the nearest tenth of the degree, if 0° < 0 < 360° and s0= -0.8910 with in QIII.
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°.
Related questions
Question
![**Finding \( \theta \) for a Given Cosine Value**
*Use a calculator to find \( \theta \) to the nearest tenth of the degree, if \( 0^\circ < \theta < 360^\circ \) and*
\[ \cos \theta = -0.8910 \text{ with } \theta \text{ in QIII.} \]
---
Explanation: In this problem, you are asked to determine the angle \( \theta \) where the cosine of \( \theta \) is -0.8910 and the angle \( \theta \) lies in the third quadrant of the unit circle (QIII). The output should be given to the nearest tenth of a degree. Use a scientific calculator or a graphing calculator to find the angle that corresponds to this cosine value. Upon calculating the acute reference angle, you will subtract it from 180° to determine the angle in the third quadrant.
The solution box where the value of \( \theta \) should be entered is provided below the instructions.
Box: [Blanked Out]
Remember that angles in QIII range from 180° to 270°. Use this in conjunction with your calculator's ability to find the inverse cosine to pinpoint the exact angle requested.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2607c80f-78e3-4cea-850b-2b41054ecd85%2F62c4898b-e959-4c12-9c20-814e337aeb8f%2Fduikeb_processed.png&w=3840&q=75)
Transcribed Image Text:**Finding \( \theta \) for a Given Cosine Value**
*Use a calculator to find \( \theta \) to the nearest tenth of the degree, if \( 0^\circ < \theta < 360^\circ \) and*
\[ \cos \theta = -0.8910 \text{ with } \theta \text{ in QIII.} \]
---
Explanation: In this problem, you are asked to determine the angle \( \theta \) where the cosine of \( \theta \) is -0.8910 and the angle \( \theta \) lies in the third quadrant of the unit circle (QIII). The output should be given to the nearest tenth of a degree. Use a scientific calculator or a graphing calculator to find the angle that corresponds to this cosine value. Upon calculating the acute reference angle, you will subtract it from 180° to determine the angle in the third quadrant.
The solution box where the value of \( \theta \) should be entered is provided below the instructions.
Box: [Blanked Out]
Remember that angles in QIII range from 180° to 270°. Use this in conjunction with your calculator's ability to find the inverse cosine to pinpoint the exact angle requested.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 3 images
Recommended textbooks for you
Trigonometry (11th Edition)
Trigonometry
ISBN:
9780134217437
Author:
Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:
PEARSON
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning
Trigonometry (11th Edition)
Trigonometry
ISBN:
9780134217437
Author:
Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:
PEARSON
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning