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The normal monthly high temperatures H (in degrees Fahrenheit) in Erie, Pennsylvania, are approximated by H(t) = 57.54 - 18.53 cos - 14.03 sin) and the normal monthly low temperatures L are approximated by L(0) = 42.03-15.99 cos(프)-14.32 sin() where t is the time (in months), with t = 1 corresponding to January (see figure).+ 80 60 40 L(1) 20- 9 10 1I 12 Month of year (a) What is the period of each function? months period of H(t) period of L(t) months (b) During what part of the year is the difference between the normal high and normal low temperatures greatest? O spring O summer O fall O winter When is it least? O spring O summer O fall O winter (c) The sun is northernmost in the sky around June 21, but the graph shows the warmest temperatures at a later date. Approximate the lag time of the temperatures relative to the position of the sun. (Round your answer to one decimal place.) month(s) Temperature (in degrees Fahrenheit)

The normal monthly high temperatures H (in degrees Fahrenheit) in Erie, Pennsylvania, are approximated by H(t) = 57.54 - 18.53 cos - 14.03 sin) and the normal monthly low temperatures L are approximated by L(0) = 42.03-15.99 cos(프)-14.32 sin() where t is the time (in months), with t = 1 corresponding to January (see figure).+ 80 60 40 L(1) 20- 9 10 1I 12 Month of year (a) What is the period of each function? months period of H(t) period of L(t) months (b) During what part of the year is the difference between the normal high and normal low temperatures greatest? O spring O summer O fall O winter When is it least? O spring O summer O fall O winter (c) The sun is northernmost in the sky around June 21, but the graph shows the warmest temperatures at a later date. Approximate the lag time of the temperatures relative to the position of the sun. (Round your answer to one decimal place.) month(s) Temperature (in degrees Fahrenheit)

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.4: Multiple-angle Formulas
Problem 72E
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Solve a, b, and c. Precalculus. Thank you!

The normal monthly high temperatures H (in degrees Fahrenheit) in Erie, Pennsylvania, are approximated by H(t) = 57.54 – 18.53 cos ) - 14.03 sin and the normal monthly low temperatures L are approximated by L(t) = 42.03 – 15.99 cos( E) sin() - 14.32 sin where t is the time (in months), with t = 1 corresponding to January (see figure).t 80 H(t)| 60 40 L(t) 20 1 2 3 4 8. 9 10 11 12 Month of year (a) What is the period of each function? period of H(t) months period of L(t) months (b) During what part of the year is the difference between the normal high and normal low temperatures greatest? O spring O summer O fall O winter When is it least? O spring O summer O fall O winter (c) The sun is northernmost in the sky around June 21, but the graph shows the warmest temperatures at a later date. Approximate the lag time of the temperatures relative to the position of the sun. (Round your answer to one decimal place.) month(s) Temperature (in degrees Fahrenheit)
Transcribed Image Text:The normal monthly high temperatures H (in degrees Fahrenheit) in Erie, Pennsylvania, are approximated by H(t) = 57.54 – 18.53 cos ) - 14.03 sin and the normal monthly low temperatures L are approximated by L(t) = 42.03 – 15.99 cos( E) sin() - 14.32 sin where t is the time (in months), with t = 1 corresponding to January (see figure).t 80 H(t)| 60 40 L(t) 20 1 2 3 4 8. 9 10 11 12 Month of year (a) What is the period of each function? period of H(t) months period of L(t) months (b) During what part of the year is the difference between the normal high and normal low temperatures greatest? O spring O summer O fall O winter When is it least? O spring O summer O fall O winter (c) The sun is northernmost in the sky around June 21, but the graph shows the warmest temperatures at a later date. Approximate the lag time of the temperatures relative to the position of the sun. (Round your answer to one decimal place.) month(s) Temperature (in degrees Fahrenheit)
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