Back to 7.6 Modeling with Trigonometric Functions

7.6 Exercise 37

Avg difficulty 2.5

Construct a sinusoidal function with the provided information, and then solve the equation for the requested values.

Outside temperatures over the course of a day can be modeled as a sinusoidal function. Suppose the high temperature of $105 °\text{F}$ occurs at 5PM and the average temperature for the day is $85 °\text{F} .$ Find the temperature, to the nearest degree, at 9AM.

OpenStax Precalculus 2e, 7.6 Modeling with Trigonometric Functions, exercise 37

AI Tutor

Adapted from College Algebra © 2021 Rice University. Licensed under CC BY 4.0. Sources: College Algebra 2e, Algebra and Trigonometry 2e, Precalculus 2e, College Algebra with Corequisite Support 2e. Imported at revision 4922e46.