Back to 8.3 Inverse Trigonometric Functions

8.3 Exercise 140

Avg difficulty 2.5

Find the amplitude, period, phase shift, and midline.

The outside temperature over the course of a day can be modeled as a sinusoidal function. Suppose you know the temperature is 68°F at midnight and the high and low temperatures during the day are 80°F and 56°F, respectively. Assuming $t$ is the number of hours since midnight, find a function for the temperature, $D ,$ in terms of $t .$

OpenStax Algebra and Trigonometry 2e, 8.3 Inverse Trigonometric Functions, exercise 140

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.