Stitz-Zeager_College_Algebra_e-book

Rotating between 23 and radians from the negative x

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Unformatted text preview: − π 2 = 67.5 sin π 15 t 5. (a) T (t) = 20.5 sin π t − π + 53.5 6 (b) Our function and the data set are graphed below. The sinusoid seems to be shifted to the right of our data. (c) The average temperature on April 15th is approximately T (4.5) ≈ 39.00◦ F and the average temperature on September 15th is approximately T (9.5) ≈ 73.38◦ F. (d) Using a graphing calculator, we get the following This model predicts the average temperature for April 15th to be approximately 42.43◦ F and the average temperature on September 15th to be approximately 70.05◦ F. This model appears to be more accurate. 6. (a) Based on the shape of the data, we either choose A < 0 or we find the second value of t which closely approximates the ‘baseline’ value, F = 0.505. We choose the latter to π π obtain F (t) = 0.475 sin 15 t − 2π + 0.505 = 0.475 sin 15 t + 0.505 (b) Our function and the data set are graphed below. It’s a pretty good fit. 760 Applications of Trigonometry (c) The fraction of the moon illuminated on June 1st, 2009 is approxi...
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This note was uploaded on 05/03/2013 for the course MATH Algebra taught by Professor Wong during the Fall '13 term at Chicago Academy High School.

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