I’m working on a trigonometry multi-part question and need an explanation to help me understand better.
When Tom and Heather were riding on a ferris wheel, they realised that as the wheel turned clockwise, the (h) height of their seat in metres after t minutes could be modelled by the function
H(t)=a-bcosnt
The graph of h against t is shown for the whole ride
a) state the values a,b and n
b) Write down the rule for(t)
c) how many times do Tom and Heather reach the highest point during their ride and how far above the ground is it
d) How high were they when the ride begins to move
e) How many minutes pass before they are at this point again
f) How far above ground are they after 1 minute
g) If the ride began when the children were at the height found in part,f,what would the function become
h) Draw a graph of the new function for the first 6 minutes of the ride
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