JHR's
IFYCSEM notes for 9/7/99
Trigonometric functions
A review of the basic properties of trigonometric functions may be found at
http://fc/lc/functions/trig/main.html
You should read this summary.
The homework is due by 5 PM on Thursday, September 9.
It may be turned in either to me or to the slot on the wall outside my office (G215-A).
The homework consists of the seven problems from the Calculus book,
page 36: 17,18,
page 38: 43,
pages A26-27: 42,44, 63,64,
and the following three problems;
8 A boat is traveling east, away from a pier so that when the boat is x meters east of the pier, it is 10*sin(x) meters north of the pier. A buoy is floating in the water 50 meters east and 40 meters north of the pier. Determine the minimum distance between the boat and the buoy.
9 You are told that two trigonometric functions each have period Pi and that their graphs intersect at x=3.64.
(A) Can you say whether these two graphs intersect at any smaller positive x value? If so, what is it?
(B) Find an x value greater than 3.64 at which these graphs intersect.
(C) Find a negative x value at which these graphs intersect.
10 Use the data in daylight.mws to study the graph of the function describing the number of minutes between sunrise and sunset in Terre Haute as a function of the day of the year.
Write a function that describes the number of minutes between sunrise and sunset in Terre Haute as a function of the number of days after December 31.
daylight.mws may be found by
clicking on daylight.mws and choosing the Save File... option and saving the file on the window that pops up.