# Activities

• • • ##### Subject Area

• Math: Precalculus: Trigonometry (Triangle and Circular Functions)

• ##### Author 9-12

50 Minutes

• ##### Device
• TI-Nspire™ CX/CX II
• TI-Nspire™ CX CAS/CX II CAS
• TI-Nspire™ Navigator™
• TI-Nspire™
• TI-Nspire™ CAS
• ##### Software

TI-Nspire™
TI-Nspire™ CAS

3.0

• ##### Report an Issue

Identifying Sinusoidal Graphs

#### Activity Overview

This lesson involves examining graphs, or partial graphs, of sinusoidal functions to determine the values of their parameters and to express them in various ways involving sine and cosine functions.

#### Objectives

• Students will understand the effect that each of the parameters A, B, C, and D has on the graph of a sinusoidal function of the form y = ±A sin (B(x - C)) + D or y = ±A cos (B(x - C)) + D.
• Students will understand that sinusoidal functions can be expressed in a variety of equivalent forms.

#### Vocabulary

• amplitude
• cycle
• horizontal shift
• parameters
• period
• vertical shift