Chapter 14 Trigonometric Graphs, Identities, and Equations - 14.5 Write Trigonometric Functions and Models - 14.5 Exercises - Problem Solving - Page 946: 27a

$y=0.38 \sin (0.776t+5.58) +20.4 $

General solution for Trigonometric functions $sine$ and $cosine$ that model a sinusoid is as follows: $y=A \sin (Bt+C) +D$ and $y=A \cos (Bt+C)+D$. Here, the amplitude is $A=0.38$ $y=0.38 \sin (0.776t+5.58) +20.4 $