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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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Please graph 

The image contains a mathematical equation:

\[ y = \frac{1}{6} \sin\left(\frac{1}{3}(\theta - \pi)\right) - 2 \]

This equation represents a sine function that has been transformed. The transformations include:

1. Scaling the amplitude by \(\frac{1}{6}\).
2. Changing the period via the factor \(\frac{1}{3}\).
3. Horizontal phase shift by \(\pi\).
4. Vertical shift downward by 2 units.

These transformations affect the graph of the sine wave, altering its shape, position, and periodicity.
Transcribed Image Text:The image contains a mathematical equation: \[ y = \frac{1}{6} \sin\left(\frac{1}{3}(\theta - \pi)\right) - 2 \] This equation represents a sine function that has been transformed. The transformations include: 1. Scaling the amplitude by \(\frac{1}{6}\). 2. Changing the period via the factor \(\frac{1}{3}\). 3. Horizontal phase shift by \(\pi\). 4. Vertical shift downward by 2 units. These transformations affect the graph of the sine wave, altering its shape, position, and periodicity.
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