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What is one characteristic of the cosine function?

It is an odd function.
It has a period equal to π.
Its graph is symmetric about the y-axis.
Its domain is between –1 and 1 and is inclusive.

What is one characteristic of the cosine function It is an odd function It has a period equal to π Its graph is symmetric about the yaxis Its domain is between class=

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Answer:

C. Its graph is symmetric about the y-axis

Step-by-step explanation:

I just took the pre-test

You can also graph the function and it is the same on both sides of the axis. For other questions like this I suggest: math-way

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The characteristic of the cosine function is Its graph is symmetric about the y-axis.

What is Cosine function?

cosine function formula in terms of sides of a right-angled triangle is written as:

cos x = Adjacent Side/Hypotenuse = Base/Hypotenuse, where x is the acute angle between the base and the hypotenuse.

Properties of Cosine Function

Properties of cosine depend upon the quadrant in which the angle lies. The cosine function is a special trigonometric function and has many properties. Some of them are listed below:

  • The cos x graph repeats itself after 2π, which suggests the function is periodic with a period of 2π.
  • Cos x is an even function because cos(−x) = cos x.
  • The domain of cosine function is all real numbers and the range is [-1,1].
  • The reciprocal of the cosine function is the secant function.

As, The graphs of sine and cosine have the same shape: a repeating “hill and valley” pattern over an interval on the horizontal axis that has a length of .

Hence, the graph is  symmetric about the y-axis.

Learn more about cosine function here:

https://brainly.com/question/17954123

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