Mr. Brown paid $754,40 for four plane tickets. How much did each plane ticket cost?
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In the equation model, the simple harmonic motion is d=6sin(πt/4)-6 if the object moves in simple harmonic motion with a period of 8 seconds and amplitude of 6 cm.
<h3>What is simple harmonic motion?</h3>Simple Harmonic Motion is described as a motion in which the restoring force is proportionate to the body's displacement from its mean position.
We have:
Amplitude A = 6 cm
Time period = 8 seconds
T = 2π/w
8 = 2π/w
w = π/4
Its displacement d from rest is -6 cm, and initially, it moves in a positive direction.
d(0) = -6 cm at t = 0
The equation becomes:
Thus, in the equation model, the simple harmonic motion is d=6sin(πt/4)-6 if the object moves in simple harmonic motion with a period of 8 seconds and amplitude of 6 cm.
Learn more about the simple harmonic motion here:
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Answer:
Step-by-step explanation:
Use a cofunction identity on the right hand side or left hand side...
So .
We have the equation:
Make the above replacement:
Since cotangent has period 180 degrees, we can also write this as:
So solving the following will give us a set of solutions for :
Add on both sides:
Subtract 10 on both sides:
Divide both sides by 2:
Symmetric property: