Back to Model periodic phenomena — Problem 6 · Task Set 72

Exercises: Choosing Trigonometric Functions to Model Periodic Phenomena

Show your work for each problem. Express answers involving pi using exact form (e.g., pi/4) unless otherwise stated.

Grade 9·24 problems·~30 min·Common Core Math - HS Functions·group·hsf-tf-b-5

Work through problems with immediate feedback

Fluency Practice

Practice the core skills of this lesson.

A pendulum displacement starts at its maximum positive value at $t = 0$ . The amplitude is 8 cm, the period is $\pi$ seconds, and the midline is $y = 0$ . Which equation models this?

$y = 8\sin(2t)$

$y = 8\cos(\pi t)$

$y = 8\cos(2t)$

$y = -8\cos(2t)$