Mathematics, 02.02.2020 17:50 nataliemakin7123

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 = cos(x)? degrees what

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Answer from: tishfaco5000

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°

Answer from: cadez

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,

y = cosx

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

$S=\dfrac{2\pi }{A}$

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,

$S=\dfrac{2\pi }{1}$

S=360^o

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,

$S=6\pi$

$S=6\times 180$

S=1080^o

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-

link

Answer from: Quest

step-by-step explanation:

jbjuiuhuhuuy

Can somebody me with this math problem i’ve been stuck on it all day.

Answer from: Quest

d. $180

step-by-step explanation:

if the dimensions of the room is 9ft by 12 ft, we have the area of the floor as,

$a=9\times 12=108\text {ft^2}$

so the area of the floor is 108 square feet, converting that into square yards we get,

$108 \times 0.1111= 12 \text{yd^2}$

the cost of carpet is $15 per square yard, therefore the cost of carpet for 12 square yards is,

$\$15 \times 12=\$180$

hence, the cost of carpet is $180.

assuming the dimensions of the room be,

15 ft by 12 ft

so, the area of the floor of that room is,

$a = 12 \times 15=180\text {ft}^2$

we can convert 180 square feet into square yards, we know that,

1 sq ft = 0.111 sq yard

so, 180 square feet is,

$180 \times 0.111=20 \text {yd}^2$

so the area of floor is 20 square yards.

now, the cost of carpet is 15 dollars per square yard, therefore the cost of carpet for 20 square yards is,

$\$15 \times 20= \$300$

so, it will cost $300.

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

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