Trigonometric Modeling And Transformation
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Transcript of Trigonometric Modeling And Transformation
Trigonometric Modeling and Transformation
On September 17, 2005, 100% of the moon was seen in the sky. The moon cannot be seen cannot be seen during the days of September 2 and October 2. These facts are based on NASA’s records.
Photo by flickr user mattie_shoes
Questions
a) What is the percent of how much of the moon was shown on September 15, 2005?
b) If the light of the moon shown is 65%, when did it happen?
Solutionsa) First thing to do is to sketch the sinusoidal
graph and show the equation of the problem.
Perc
ent o
f lig
ht o
f moo
n
Days of the month
Using either one of the equation the we can find the percent of light of the moon on September 15.
f(x) =
Equation of the graph:
-50cos[
g(x) = 50sin [
f(x) = -50cos[
f(x) = -50cos [
f(x) = -50cos[
f(x) = -50cos[f(x) = 45.67727288+f(x) = 95.67727288f(x) 95.7 %