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Calculus IV
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S = contains supplemental resources
Course: Trigonometry
Topic: Graphs of Trigonometric Functions
Subtopic: Amplitude & Period

Overview

Altering a trigonometric function by multiplying it by a constant changes its graph by stretching it taller or squishing it flatter. This is called a change in amplitude. Altering it by multiplying its angle by a constant changes its graph by stretching / squishing it like a spring. This is called a change in period. In this lesson we learn the effect of these changes on the six trig functions.

Objectives

By the end of this topic you should know and be prepared to be tested on:

Terminology

Define: amplitude, period (of a trig function), periodic

Supplementary Resources (recommended)

Explore how changing the "a" (amplitude) and "b" (period) values on the slider bar affect the sine graph at Sine Amplitude and Period from Desmos.

Supplemental Resources (optional)

Video: Amplitude and Period of Sine and Cosine