Saturday

October 25, 2014

October 25, 2014

Posted by **Doug** on Monday, September 28, 2009 at 10:51pm.

I need to find what A, B, and C equal. Thanks.

- Trigonometry -
**MathMate**, Tuesday, September 29, 2009 at 8:09amIn the equation:

N=Asin(Bt) + C

A represents half of the difference between the maximum and minimum, sometimes called amplitude.

B is a multiplitive factor to ensure that the cycle of sine (2π) fits into the physical cycle, in this problem, 365 days.

Since the amplitude of daylight hours is (18-7)/2=5.5, we obtain A=5.5.

We need a value of B such that when t=0 and t=365, Bt becomes 0 and 2π.

So 365B = 2π, or B=2π/365.

**Answer this Question**

**Related Questions**

Math - The number of daylight hours in a day is harmonic. Suppose that in a ...

11th grade-Calculas - The number of hours of daylight D depends upon the ...

calculus - The number of hours of daylight D depends upon the latitude and the ...

Precalculus II - 1. The number of hours of daylight D(t) in Halifax at day t can...

Math- Trigonometry - The flowering of many commercially grown plants in ...

math - In Philadelphia the number of hours of daylight on day t (where t is the ...

trig - A city averages 14 hours of daylight in June, 10 in December, 12 in both ...

Calculus Help - A model for the length of daylight (in hours) in Philadelphia on...

Astronomy - Physics - Now, wait until the planet is at the winter solstice (12:...

Math, Trigonometry - daylight in Calgary, AB each month is show in the table ...