Constructing sinusoidal functions

4 videos
3 skills
Learn how to find the formula of a sinusoidal function from its graph or a few selected features. Model real-world situations with sinusoidal functions.

Sinusoidal function from graph

VIDEO 5:22 minutes
Sal finds the equation of a sinusoidal function from its graph where the minimum point (-2,-5) and the maximum point (2,1) are highlighted.

Construct sinusoidal functions

PRACTICE PROBLEMS
Given a few features of a sinusoidal function, find its formula.

Trig word problem: modeling daily temperature

VIDEO 10:55 minutes
Sal solves a word problem about the daily change in temperature by modeling it with a sinusoidal function.

Trig word problem: modeling annual temperature

VIDEO 7:09 minutes
Sal solves a word problem about the annual change in temperature by modeling it with a sinusoidal function.

Modeling with sinusoidal functions

PRACTICE PROBLEMS
Given the description of a real-world relationship, find the sinusoidal function that models it.

Trig word problem: length of day (phase shift)

VIDEO 7:43 minutes
Sal solves a word problem about the annual change in the length of day by modeling it with a sinusoidal function that has a phase shift.

Modeling with sinusoidal functions: phase shift

PRACTICE PROBLEMS
Given the description of a real-world relationship, find the sinusoidal function that models it. The functions in this exercise have a phase (horizontal) shift.