Monday, October 14, 2013

HW for Wednesday (A) and Thursday (E)

Be sure that you are in DEGREES mode on your calculator.

1.  Revisit the Moon Problem.  If the diameter of the Moon is 1/4 the diameter of the Earth (look it up), and the angle subtended by the Moon is 0.5 degrees, how far away should the Moon be from Earth?

2.  Consider a 3-4-5 triangle.  Find the values of the angles in the triangle.

3.  This one may be trickier.  Make a graph of y = sin x, for values from 0 to 360 degrees.  You could do this on your calculator, but make sure that you could also do it "by hand" - choosing several x values (30, 45, 60, 90, 120, 135 degrees, etc.) and plotting them on an axis.  Graph paper may actually be best for this.

4.  Repeat 3 for y = cos x.

5.  How would the graphs for 3 or 4 above differ if there were coefficients?  Say, y = 3x.  How would the graph change?  (This is an amplitude change.)

6.  How would the graph change in this case:  y = sin(2x)

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