In the given graph, the horizontal axis represents time, t. Use the graph to answer the following: (a) Construct a sinusoidal model y = f(t) that matches the graph using a sine function. (b) Use a cosine function to construct a sinusoidal model y = f(t) that matches the graph. (c) Estimate the value of y= - f(6) from the graph, and write it here. (d) Calculate the value of y = f(6) using each of your two models. Write the two values here. (e) Do your two sinusoidal models produce the same value? Does the calculated value appear to agree with the value you estimated from the given graph? (f) Use your cosine model to approximate the height at t = -1. (g) From part (f), is the value of your model y = f(-1) reasonable? Briefly explain how you know.
In the given graph, the horizontal axis represents time, t. Use the graph to answer the following: (a) Construct a sinusoidal model y = f(t) that matches the graph using a sine function. (b) Use a cosine function to construct a sinusoidal model y = f(t) that matches the graph. (c) Estimate the value of y= - f(6) from the graph, and write it here. (d) Calculate the value of y = f(6) using each of your two models. Write the two values here. (e) Do your two sinusoidal models produce the same value? Does the calculated value appear to agree with the value you estimated from the given graph? (f) Use your cosine model to approximate the height at t = -1. (g) From part (f), is the value of your model y = f(-1) reasonable? Briefly explain how you know.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 60E
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