Common Core Standard HSF-TF.B.5 Questions

Choose trigonometric functions to model periodic phenomena with specified amplitude, frequency, and midline.^★

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Grade 11 Trigonometry CCSS: HSF-TF.B.5

The number of daylight hours varies throughout the year and can be approximately modeled by trigonometric functions. For a certain city, the maximum number of daylight hours occurs on June 21 and is 16 hours and 7 minutes. The minimum of 8 hours and 19 minutes occurs on December 21. Using this information, create a trigonometric function which models this data and determine approximately how many hours of daylight there will be on April 5. Assume that the year has 365 days.

8 hours and 18 minutes
11 hours and 48 minutes
13 hours and 8 minutes
16 hours and 8 minutes

Grade 12 Trigonometry CCSS: HSF-TF.B.5

The function

$f(x)=2 sin(3x) +1$ has frequency when compared to

$f(x)=3 sin(3x) +2$ .

the same
a greater
a lesser

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