PA-1 A weight is tied to the end of a spring and then set into motion. The displacement of the weight from the equilibrium is given by the equation below. Hence, simplify the equation and then describe how long will it takes for the weight to go from its minimum to its maximum displacement. y = -3 (sin (2t) cos (2t) + 1] where tis time in seconds sin (2t) + sec (2t)

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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PA-1 A weight is tied to the end of a spring and then set into motion. The displacement of
the weight from the equilibrium is given by the equation below. Hence, simplify the
equation and then describe how long will it takes for the weight to go from its
minimum to its maximum displacement.
y= -3 (sin (2t) cos (2t) + 1] where t is time in seconds
sin (2t) + sec (2t)
PA-2 Consider a 15-foot ladder placed against a wall such that the distance from the top
of the ladder to the floor is h feet and the angle between the floor and the ladder is
theta (symbol is e).
a) Write the height. h, as a function of angle e
b) If the ladder is pushed toward the wall, increasing the angle by e by 10°, write a
new function for the height as a function of 0 + 10° and then express in terms of
sines and cosines of 0 and 10°.
Transcribed Image Text:Practical Applications PA-1 A weight is tied to the end of a spring and then set into motion. The displacement of the weight from the equilibrium is given by the equation below. Hence, simplify the equation and then describe how long will it takes for the weight to go from its minimum to its maximum displacement. y= -3 (sin (2t) cos (2t) + 1] where t is time in seconds sin (2t) + sec (2t) PA-2 Consider a 15-foot ladder placed against a wall such that the distance from the top of the ladder to the floor is h feet and the angle between the floor and the ladder is theta (symbol is e). a) Write the height. h, as a function of angle e b) If the ladder is pushed toward the wall, increasing the angle by e by 10°, write a new function for the height as a function of 0 + 10° and then express in terms of sines and cosines of 0 and 10°.
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