Congratulations on your last assignment :))
The period is 40 seconds, since it completes one revolution every 40 seconds.
The amplitude is 50 feet, since the distance between the lowest and highest points of the Ferris wheel is 100 feet.
The midline is 55 feet, since the center of the Ferris wheel is 55 feet above the ground.
Can you graph it from here?
Sorry I'm a bit late, I was sleeping. :))
-cos(x)/(tan(x)-1) = cos(x)/(1-tan(x)) I simply multiplied both sides by -1, and since we now have the same denominator, as sine(x)*tan(x)/(tan(x)-1), we can just add the numerators together.
As for your method, I think you messed up on the second to third line, you included the -1 outside of the denominator of the fraction.
_______________ = sine(x) + cos (x) # I'm using that line as division cause it's easier to visualize I think
tan(x) - 1
sine(x)/cos(x) - 1
sine(x) = a
cos(x) = b
(a^2-b^2)/(a-b) = a + b
So our answer simplifies to sine(x) + cos(x)
Last time I tried your problem, Melody taught me this cool triangle trick that I would suggest you to go see, if you haven't yet. :))