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Course: Integrated math 3?>?Unit 8
Lesson 12: Sinusoidal models- Interpreting trigonometric graphs in context
- Interpreting trigonometric graphs in context
- Trig word problem: modeling daily temperature
- Trig word problem: modeling annual temperature
- Modeling with sinusoidal functions
- Trig word problem: length of day (phase shift)
- Modeling with sinusoidal functions: phase shift
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Modeling with sinusoidal functions
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Problem
Vlad is playing on a swing set.
His horizontal distance (in ) from the center (where being behind the center means a negative distance) as a function of time (in seconds) can be modeled by a sinusoidal expression of the form .
At , when he pushes off, he is behind the center, which is as far back as he goes. The swing reaches the center seconds later.
Find .
should be in radians.