A clock with an hour hand that is 18 inches long is hanging on a wall. At noon, the vertical distance between the tip of the hour hand and the ceiling is 25 inches. At 3 P.M., the distance is 43 inches; at 6 P.M., 61 inches; at 9 P.M., 43 inches; and at midnight the distance is again 25 inches. If f(x) represents the distance between the tip of the hour hand and the ceiling x hours after noon, write the function that represents the graph in the form of f(x)= acos(bx) + d. O16)=-18 (+43 O16)-430¹-18 O16)=-43c0)+18 cos O16)=-1800)+43
A clock with an hour hand that is 18 inches long is hanging on a wall. At noon, the vertical distance between the tip of the hour hand and the ceiling is 25 inches. At 3 P.M., the distance is 43 inches; at 6 P.M., 61 inches; at 9 P.M., 43 inches; and at midnight the distance is again 25 inches. If f(x) represents the distance between the tip of the hour hand and the ceiling x hours after noon, write the function that represents the graph in the form of f(x)= acos(bx) + d. O16)=-18 (+43 O16)-430¹-18 O16)=-43c0)+18 cos O16)=-1800)+43
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
SectionP.7: A Library Of Parent Functions
Problem 47E
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A clock with an hour hand that is 18 inches long is hanging on a wall. At noon, the vertical distance between the tip of the hour hand and the
ceiling is 25 inches. At 3 P.M., the distance is 43 inches; at 6 P.M., 61 inches; at 9 P.M., 43 inches; and at midnight the distance is again 25 inches.
If f(x) represents the distance between the tip of the hour hand and the ceiling x hours after noon, write the function that represents the graph in
the form of f(x)= acos(bx) + d.
tab
shift
YZEN
S
O16)=-18¹)+43
O16)=-43 (+18
O16)=-43 cos () +18
O16)=-1800)+43
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