Suppose that angle 0 is a solution to the equation 1 cos(9-x)= 3 How would you express all of the solutions? x= 0+ where k is any integer. (You don't need to find a value of e to answer this question, just think!)

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°.
icon
Related questions
Question
**Problem Statement:**

Suppose that angle \( \theta \) is a solution to the equation

\[ \cos(9 \cdot x) = \frac{1}{3} \]

**Question:**

How would you express all of the solutions?

\[ x = \theta + \frac{360^\circ \cdot k}{9} \]

\[ x = \frac{360^\circ \cdot k - \theta}{9} \]

where \( k \) is any integer. (You don't need to find a value of \( \theta \) to answer this question, just think!)
Transcribed Image Text:**Problem Statement:** Suppose that angle \( \theta \) is a solution to the equation \[ \cos(9 \cdot x) = \frac{1}{3} \] **Question:** How would you express all of the solutions? \[ x = \theta + \frac{360^\circ \cdot k}{9} \] \[ x = \frac{360^\circ \cdot k - \theta}{9} \] where \( k \) is any integer. (You don't need to find a value of \( \theta \) to answer this question, just think!)
Expert Solution
steps

Step by step

Solved in 2 steps with 13 images

Blurred answer
Recommended textbooks for you
Trigonometry (11th Edition)
Trigonometry (11th Edition)
Trigonometry
ISBN:
9780134217437
Author:
Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:
PEARSON
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning
Algebra and Trigonometry
Algebra and Trigonometry
Trigonometry
ISBN:
9781938168376
Author:
Jay Abramson
Publisher:
OpenStax
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning