(Modeling) Voltage The voltage in common household current is expressed as V = 163 sin wt, where w is the angular speed (in radians per second) of the genera- tor at an electrical plant and t is time (in seconds). (a) Use an identity to express V in terms of cosine. (b) If w = 1207, what is the maximum voltage? Give the least positive value of t when the maximum voltage occurs.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.2: Trigonometric Functions Of Angles
Problem 2E
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Answer (a) and (b). Show all your work.

(Modeling) Voltage The voltage in common household current is expressed as
V = 163 sin wt, where w is the angular speed (in radians per second) of the genera-
tor at an electrical plant and t is time (in seconds).
(a) Use an identity to express V in terms of cosine.
(b) If w = 120, what is the maximum voltage? Give the least positive value of t
when the maximum voltage occurs.
%3D
Transcribed Image Text:(Modeling) Voltage The voltage in common household current is expressed as V = 163 sin wt, where w is the angular speed (in radians per second) of the genera- tor at an electrical plant and t is time (in seconds). (a) Use an identity to express V in terms of cosine. (b) If w = 120, what is the maximum voltage? Give the least positive value of t when the maximum voltage occurs. %3D
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