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Chapter 7: Q. 4 (page 450)

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

Short Answer

Expert verified

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

Step by step solution

01

Step 1. Given Information:

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

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

02

Step 2. Solution:

We know that

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

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

cos(0)=1cos蟺2=0cos(蟺)=-1

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

Hence, the statement is True.

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