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What is the period of the parent cosine function, y = cos(x)?


degrees
What is the period of the cosine function shown in the graph?


degrees

What is the period of the parent cosine function y cosx degrees What is the period of the cosine function shown in the graph degrees class=

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HomertheGenius
We have to find the period of the parent cosine function and the period of the function showed on the graph.
Period = 2π / B, where B is the coefficient of x - term.
1. For the function: y = cos x,  B = 1
Period = 2 π / 1 = 2 π = 360°.
2. For the graphed function ( from the picture ):
Period = 6 π = 1,080°

The period of the parent cosine function, is 360 degree and the period of the cosine function shown in the graph is 1080 degree.

Period of parent cosine function- One period of cosine function is ranges from 0 to 2 pi. Given cosine function is,

[tex]y = cosx[/tex]

For the above cosine function the period S can be given as,

[tex]S=\dfrac{2\pi }{A}[/tex]

Here, A is the coefficient of the x.In the given function the coefficient of the x is 1. Therefore the period of the function is,

[tex]S=\dfrac{2\pi }{1}[/tex]

[tex]S=360^o[/tex]

Hence, the period for given cosine function is 360 degree.

Period for the cosine function in the graph can be calculated using above method.The period for the cosine function in the graph is,

[tex]S=6\pi[/tex]

[tex]S=6\times 180[/tex]

[tex]S=1080^o[/tex]

Therefore, the value of period for the graph shown is 1080 degree.

Hence, the period of the parent cosine function, is 360 degree and the period of the cosine function shown in the graph is 1080 degree.

For more about the trigonometry, follow the link below-

https://brainly.com/question/40973

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