Chapter 7: Q. 4 (page 450)

True or False The graph of y = cos x is decreasing on the interval $[0, π]$ .

Short Answer

Expert verified

True Statement The graph of y = cos x is decreasing on the interval $[0, π]$ .

Step by step solution

Step 1. Given Information:

Given statement: The graph of y = cos x is decreasing on the interval $[0, π]$ .

We want to know that Is the given statement is True or False.

Step 2. Solution:

We know that

The cosine function is deceasing on the interval $[0, π]$

We can also check the variation of the cosine function on the interval $[0, π]$ by interpreting the output of some values inside the given interval as follows:

$\cos (0) = 1 \cos \frac{π}{2} = 0 \cos (π) = - 1$

Hence, we notice that the cosine function is decreasing on the interval $[0, π]$ .

Hence, the statement is True.

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True or False The graph of y = cos x is decreasing on the interval $[0, π]$ .

Short Answer

Step by step solution

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True or False The graph of y = cos x is decreasing on the interval [0,π].

Short Answer

Step by step solution

Step 1. Given Information:

Step 2. Solution:

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

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True or False The graph of y = cos x is decreasing on the interval $[0, π]$ .