Math Problem Statement

Draw the graph of each function showing at least two cycles. Be sure to clearly indicate the amplitude and period. a y= 0.4 sin 2x b y = 7cos5x

Solution

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Math Problem Analysis

Mathematical Concepts

Trigonometry
Sine and Cosine Functions
Amplitude
Periodicity

Formulas

Amplitude = |A| (for y = A sin Bx or y = A cos Bx)
Period = 2π / |B| (for y = A sin Bx or y = A cos Bx)

Theorems

Periodicity of sine and cosine functions

Suitable Grade Level

Grades 9-11