Trigonometry Answers

Bunches of harmonic motion
Graph (on some electronic gadget - not here) a*cos(nx) where you choose the
value of “a” to simply magnify the amplitude enough to see some detail.
If you must; on the TI-84Plus:
Set the angle mode to radians,
Set “window”: x-min=0, x-max=14, x-scl=1, y-min=-5, y-max=5, yscl=
1.
Set up 10 functions using “y=”. Use n = 1, 2, 3, …, 10.
Graph all at once.
If you can arrange to graph it on another device with better resolution, use a
larger n.
Describe the pattern you see. Why does it look that way?

Sheldon designed a pizza cutter that allows independently setting
the cut angle for each slice. This permits equitable slicing when toppings are
arranged inequitably. Two slices are to be cut from a 16 inch diameter pizza.
On the right side, the
toppings cover most of the
crust. A skinny band of
uncovered crust at the
outer radius averages ½
inch.
On the left side, the
uncovered band averages 1
inch.
a) The left side slice was cut first with a 45o (π/4) angle. Sheldon calculated a
smaller cut angle for the right side slice to ensure that the toppings areas are
the same. What is that angle in radians? (3 digits of accuracy)
b) Suppose that the right side slice was cut first with a 36o (π/5) angle.
Sheldon then calculated a larger cut angle for the right side slice to ensure
that the toppings areas are the same. What is that angle in radians? (3 digits
of accuracy)