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nadya68 [22]
3 years ago
10

As θ increases, the value of cos θ increase, decreases or stays the same?

Mathematics
1 answer:
icang [17]3 years ago
6 0

Answer:

As θ increases, the value of cos θ decreases

Step-by-step explanation:

As as θ increases, the value of cos θ decreases from 1 to -1 in the first two quadrants ( between 0 and 180 degrees). Cos(0) = 1, cos(90) = 0, cos(180) = -1.

On the other hand, as θ increases from 180 to 360 degrees (last two quadrants) the value of cos θ increases from -1 to 1.

Check the attachment below:

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Which geometric object is defined as the set of all points in a plane at a given distance from a given point
hodyreva [135]

Answer:

Circle

Step-by-step explanation:

This object is what we call "circle". All the points in the circle are at the same distance from a given point which is the center of the circle. Moreover, the distance between the center and every point on the circle is called "radius". Higher values for the radius imply points at a higher distance from the center.

Additionally, we can calculate the perimeter of the circle, or the circumference, with the following formula:

circumference = 2*(radius) pi

Where pi is an irrational number usually used as 3.14.

If you have doubts, try to draw a circle and measure the distance between the center and any point on the circle.

8 0
3 years ago
Would you need to use the chain rule to find the derivative of this function?
Nutka1998 [239]

Answer:

TRUE. We need to use the chain rule to find the derivative of the given function.

Step-by-step explanation:

Chain rule to find the derivative,

We have to find the derivative of F(x)

If F(x) = f[g(x)]

Then F'(x) = f'[g(x)].g'(x)

Given function is,

y = \sqrt{2x+3}

Here g(x) = (2x + 3)

and f[g(x)] = \sqrt{2x+3}

\frac{dy}{dx}=\frac{d}{dx}(\sqrt{2x+3}).\frac{d}{dx} (2x+3)

y' = \frac{1}{2}(2x+3)^{(1-\frac{1}{2})}.(2)

   = (2x+3)^{-\frac{1}{2}}

y' = \frac{1}{\sqrt{2x+3}}

Therefore, it's true that we need to use the chain rule to find the derivative of the given function.

8 0
3 years ago
Will mark as brainiest answer!!!!!<br> Please show work as to how you found the answer
Alchen [17]
(2,8) and (-2,10)

<u>y₂</u><u> </u><u>- y₁</u>     used to find the slope<u>
</u>x₂ - x₁
<u>
</u>plug in the coordinates
<u>10-8</u> = <u>2</u>     all equals -1/2
-2-2 = -4     m=-1/2
<u>
</u>plug one of the coordinates and the slope into y=mx+b, and solve
<u />8=-1/2(2)+b
8=-1+b
9=b

Final Answer: y = -1/2x + 9
5 0
2 years ago
Identify the circumference of ⊙S in which A=64π ft^2. HELP ASAP!!
Vika [28.1K]

Answer:

C = 16π ft

Step-by-step explanation:

If we know the area

A = pi r^2

64 pi = pi r^2

Divide each side by pi

64 = r^2

Take the square root of each side

8 = r

The radius is 8

Now we can find the circumference

C = 2 *pi*r

C = 2*pi*8

C = 16pi

5 0
2 years ago
Read 2 more answers
which of the following are the exact same distance from a parabola? A.Locus and Directix B.Axis and vertex C.Directix and Focus
Softa [21]

Answer:

C. Directrix and Focus

Step-by-step explanation:

Given choices are :

A. Locus and Directrix

B. Axis and vertex

C. Directrix and Focus or

D. Vertex and Locus

Now we need to find about which of the above choices are the exact same distance from a parabola.

By definition of parabola, vertex lies at equal distance from directrix and focus.

Hence choice  C. Directrix and Focus  is correct.

6 0
3 years ago
Read 2 more answers
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