sinusoid

mustang892

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Jan 24, 2011
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The Earth rotates on its axis, a point on the equator gets closer to and farther from the sun. Assume that the center of Earth is 93 million miles from the Sun and that the radius of Earth is 4 thousand miles. The period of Earth's rotation is, of course, 24 hours.

Assuming that the distance varies sinusoidally with time, write an equation for the distance as a function of time of day, letting T = 0 hours represent midnight.


So I know I have to use the function y = C+ A cosB(x - D)

B = 2pi/24 = .083pi

but how due I find C, A, and D. In case we found the lowest and highest pt of the funuction. How do I do that here?
 
Isn't C = 93 million miles

"A" is also given explicitly.
 
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