Hint: ![\bf \begin{array}{llll} sin^{-1}[sin(whatever)]= whatever\\\\ cos^{-1}[cos(whatever)]= whatever\\\\ tan^{-1}[tan(whatever)]= whatever \end{array}\\\\ ------------------\\\\ \begin{array}{llll} sin[sin^{-1}(whatever)]= whatever\\\\ cos[cos^{-1}(whatever)]= whatever\\\\ tan[tan^{-1}(whatever)]= whatever \end{array}](https://tex.z-dn.net/?f=%5Cbf%20%5Cbegin%7Barray%7D%7Bllll%7D%0Asin%5E%7B-1%7D%5Bsin%28whatever%29%5D%3D%20whatever%5C%5C%5C%5C%0Acos%5E%7B-1%7D%5Bcos%28whatever%29%5D%3D%20whatever%5C%5C%5C%5C%0Atan%5E%7B-1%7D%5Btan%28whatever%29%5D%3D%20whatever%0A%5Cend%7Barray%7D%5C%5C%5C%5C%0A------------------%5C%5C%5C%5C%0A%5Cbegin%7Barray%7D%7Bllll%7D%0Asin%5Bsin%5E%7B-1%7D%28whatever%29%5D%3D%20whatever%5C%5C%5C%5C%0Acos%5Bcos%5E%7B-1%7D%28whatever%29%5D%3D%20whatever%5C%5C%5C%5C%0Atan%5Btan%5E%7B-1%7D%28whatever%29%5D%3D%20whatever%0A%5Cend%7Barray%7D)
A truck driver who covers the interstate in 4 1/2hours traveling at the posted speed of 55 mph. If the speed limit is raised to
1 answer:
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Answer:
y = 4 sin( 0.5t - ) - 2
y = a sin ( 2t - ) + 2
Step-by-step explanation:
In the first question,
amplitude = 4
Period =
phase shift =
Vertical shift = -2
Angular velocity , w =
Here, w = = 0.5
The general equation of a wave is
y = a sin( wt + ∅ )
Putting above values in the equation,
y = 4 sin( 0.5t - ) - 2
In the second question,
Amplitude is not given so we will take it as a.
time period =
w = 2
Phase shift =
Vertical shift = 2
The equation is
y = a sin ( 2t - ) + 2