Chapter 9: Q. 12 (page 632)

What is the amplitude and period of $y = - 4 \cos (πx) ?$

Short Answer

Expert verified

The amplitude of $y = - 4 \cos (πx)$ is $A = 4$ and period is $P = 2$

Step by step solution

Step 1. GIven data

The given function is

$y = - 4 \cos (π x)$

Step 2. Amplitude

Compare the function with the standard cosine function

$y = - A \cos (ϖ θ) y = - 4 \cos (πx)$

So Amplitude $A = 4$

Step 3. period

Period of function $y = A \cos (ϖ ϑ)$ is $\frac{2 π}{ϖ}$

Period of $y = - 4 \cos (πx)$ is

role="math" $P = \frac{2 π}{ϖ} P = \frac{2 π}{π} P = 2$

So period isrole="math" localid="1646860172855" $P = 2$

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What is the amplitude and period of $y = - 4 \cos (πx) ?$

Short Answer

Step by step solution

Step 1. GIven data

Step 2. Amplitude

Step 3. period

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What is the amplitude and period ofy=-4cosπx?

Short Answer

Step by step solution

Step 1. GIven data

Step 2. Amplitude

Step 3. period

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Applied Mathematics

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Mechanics Maths

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Study anywhere. Anytime. Across all devices.

What is the amplitude and period of $y = - 4 \cos (πx) ?$