13. The actual temperature inside an oven varies around the selected temperature. This variation can be modeled with a sine function. If the cook selected a temperature of 400°F, then the actual temperature T in the oven is given by T = 20 sin(57x) + 400 where x is the number of hours since the oven first hit the selected temperature of 400°F. a) What is the highest actual temperature in the oven? b) What is the lowest actual temperature in the oven? c) What is the period of this function? d) When is the first time the oven will hit the highest temperature? °F F minutes minutes

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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13. The actual temperature inside an oven varies around the selected temperature. This variation can be
modeled with a sine function. If the cook selected a temperature of 400°F, then the actual
temperature T in the oven is given by
T = 20 sin(57x) + 400
where x is the number of hours since the oven first hit the selected temperature of 400°F.
a) What is the highest actual temperature in the oven?
b) What is the lowest actual temperature in the oven?
c) What is the period of this function?
d) When is the first time the oven will hit the highest temperature?
°F
F
minutes
minutes
Transcribed Image Text:13. The actual temperature inside an oven varies around the selected temperature. This variation can be modeled with a sine function. If the cook selected a temperature of 400°F, then the actual temperature T in the oven is given by T = 20 sin(57x) + 400 where x is the number of hours since the oven first hit the selected temperature of 400°F. a) What is the highest actual temperature in the oven? b) What is the lowest actual temperature in the oven? c) What is the period of this function? d) When is the first time the oven will hit the highest temperature? °F F minutes minutes
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