SOLUTION: I hope this is the right topic Background info: You are given the equation y(t)=2sin(4πt) + 5cos(4πt), which models the position of the weight, with respect to time. You need

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: I hope this is the right topic Background info: You are given the equation y(t)=2sin(4πt) + 5cos(4πt), which models the position of the weight, with respect to time. You need      Log On


   



Question 1169790: I hope this is the right topic
Background info:
You are given the equation y(t)=2sin(4πt) + 5cos(4πt), which models the position of the weight, with respect to time. You need to find the amplitude of the oscillation, the angular frequency, and the initial conditions of the motion. You will also be required to find the time(s) at which the weight is at a particular position. To find this information, you need to convert the equation to the first form,y(t)=A sin(wt+Φ)
More background info:
y(t) = distance of weight from equilibrium position
w= angular frequency (measured in radians per second)
A = amplitude
Φ = phase (depends on initial conditions)
c1 = AsinΦ
c2 = AcosΦ
Question:To rewrite y(t)=2sin(4πt) + 5cos(4πt) in the form y(t)=A sin(wt+ Φ), solve for Φ
THANK YOU SO MUCH IN ADVANCE FOR HELPING ME!

Answer by ikleyn(52890) About Me  (Show Source):
You can put this solution on YOUR website!
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duplicate.

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https://www.algebra.com/algebra/homework/logarithm/logarithm.faq.question.1169852.html

https://www.algebra.com/algebra/homework/logarithm/logarithm.faq.question.1169852.html