SOLUTION: I have no idea what the topic is.
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 n
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-> SOLUTION: I have no idea what the topic is.
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 n
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Question 1169738: I have no idea what the topic is.
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: Use the information above and the trigonometric identities to prove that A sin (wt+Φ)=c2sinwt+c1coswt
