**The city of Thunder Bay, Ontario, has average monthly temperatures that vary between –14.8°C and 17.6°C. The following table gives the average monthly temperatures, averaged over many years. Determine the equation of the sine function that describes the data, and use your equation to determine the times that the temperature is below 0°C.**| Month | Jan. | Feb. | Mar. | Apr. | May | June | July | Aug. | Sep. | Oct. | Nov. | Dec. ||-------|------|------|------|------|-----|------|------|------|------|------|------|------|| Average Temperature (°C) | –14.8 | –12.7 | –5.9 | 2.5 | 8.7 | 13.9 | 17.6 | 16.5 | 11.2 | 5.6 | –2.7 | –11.1 |**Graph/Diagram Explanation:**The table provides a monthly breakdown of average temperatures in Thunder Bay, Ontario, ranging from the coldest month of January with an average of -14.8°C, to the warmest month of July with an average of 17.6°C. This data can be used to fit a sine curve that models the periodic nature of seasonal temperature changes over the year. Furthermore, this sine function can help determine when average temperatures fall below 0°C.

of Thunder Bay, Ontario, has average monthly temperatures that vary between - 14.8°C and 17.6°C. The following table gives the average monthly temperatures, averaged over many years. Determine the equation of the sine function that describes the data, and use your equation to determine the times that the temperature is below 0°C. Feb. Mar. Apr. May June July Aug. Month Average Temperature (°C) Jan. Sep. Oct. -14.8-12.7 -5.9 2.5 8.7 13.9 17.6 16.5 11.2 5.6 Nov. Dec. -2.7 -11.1

of Thunder Bay, Ontario, has average monthly temperatures that vary between - 14.8°C and 17.6°C. The following table gives the average monthly temperatures, averaged over many years. Determine the equation of the sine function that describes the data, and use your equation to determine the times that the temperature is below 0°C. Feb. Mar. Apr. May June July Aug. Month Average Temperature (°C) Jan. Sep. Oct. -14.8-12.7 -5.9 2.5 8.7 13.9 17.6 16.5 11.2 5.6 Nov. Dec. -2.7 -11.1

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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Question

**The city of Thunder Bay, Ontario, has average monthly temperatures that vary between –14.8°C and 17.6°C. The following table gives the average monthly temperatures, averaged over many years. Determine the equation of the sine function that describes the data, and use your equation to determine the times that the temperature is below 0°C.**

| Month | Jan. | Feb. | Mar. | Apr. | May | June | July | Aug. | Sep. | Oct. | Nov. | Dec. |
|-------|------|------|------|------|-----|------|------|------|------|------|------|------|
| Average Temperature (°C) | –14.8 | –12.7 | –5.9 | 2.5 | 8.7 | 13.9 | 17.6 | 16.5 | 11.2 | 5.6 | –2.7 | –11.1 |

**Graph/Diagram Explanation:**
The table provides a monthly breakdown of average temperatures in Thunder Bay, Ontario, ranging from the coldest month of January with an average of -14.8°C, to the warmest month of July with an average of 17.6°C. This data can be used to fit a sine curve that models the periodic nature of seasonal temperature changes over the year. Furthermore, this sine function can help determine when average temperatures fall below 0°C.

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