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sweet-ann [11.9K]
3 years ago
15

Which statement regarding the function y=cos(x) is true?

Mathematics
1 answer:
dimaraw [331]3 years ago
5 0
Hints:
use the calculator to check if any of the options are correct.  Try x=pi/6 (or 30 degrees).

Odd functions satisfy the property
f(x)=-f(-x)
For this reason, odd functions are symmetrical about the origin.
Examples of odd functions: sin(x), x^3, x+3x^5, tan(x), sin(x)*cos(x), x*sin(x)
(use your calculator to check that the above are true).

Even functions satisfy the property
f(x)=f(-x)
Even functions are symmetrical about the y-axis.
Examples: x^2, cos(x), x^4+2, |x|, sin^2(x), x^2*cos(x)

There are functions that are neither odd nor even, 
examples:
x^2+4x+3, sin(x)+cos(x)
You might be interested in
Find the area of a circle with a circumference of 12.56 units
ElenaW [278]

Answer:

12.56 square units

Step-by-step explanation:

The formula for circumference is

C = 2πr

Our circumference is 12.56.  Using 3.14 for π, we have

12.56 = 2(3.14)r

12.56 = 6.28r

Divide both sides by 6.28:

12.56/6.28 = 6.28r/6.28

2 = r

The area of a circle is given by the formula

A = πr²

Using 3.14 for π and our radius of 2, we have

A = 3.14(2²) = 3.14(4) = 12.56.

4 0
3 years ago
HELP FAST PLEASE
s344n2d4d5 [400]
By using <span>Euler’s formula which state that:

            e∧(iΘ)  = cos Θ + i sin Θ

So,     z₁ = 2 ( cos π/6  + i  sin </span>π/6 ) = 2 e∧(i <span>π/6)
And    </span><span>z₂ = 3 ( cos π/4  + i  sin π/4 ) = 3 e∧(i <span>π/4)

Then </span></span>z₁ * z₂ = 2 e∧(i π/6) * <span>3 e∧(i π/4) = 6 </span><span>e∧[i (</span><span>π/6 + π/4)]
                    = </span><span>6 e∧(i 5<span>π/12)
                    = 6</span></span><span> ( cos 5π/12  + i  sin 5π/12 )</span>
3 0
3 years ago
Read 2 more answers
Can someone please help me answer this?
Nataliya [291]

Answer:

Step-by-step explanation:

Slope intercept form of a line is expressed as

y=mx+b. (where m=slope and b=y intercept)

The only answer that is in this form is the top one

y=3x-2

8 0
3 years ago
Read 2 more answers
What is x+6y=-2 converted into slope intercept.
aleksandr82 [10.1K]
Slope-intercept form is y=mx+b, where m is the slope, and b is the y-intercept.
So, to convert x+6y=-2, you have to isolate y. Your first step is to move the x to the other side. To do this, you subtract 1x from both sides:
6y=-x-2

Your final step is to divide both sides by 6:
y=-1/6x+1/3

Hope this helps :-) 
7 0
3 years ago
Read 2 more answers
One pipe fills a tank in 1 hour while another pipe can fill the same tank in 2 hours. How long will it take to fill the tank if
dlinn [17]
The filling rate of the first tank is this: \frac{1 tank}{1 hour}
The filling rate of the second tank is this: \frac{1 tank}{2 hours}
Add them to get the combined rate: 
\frac{1 tank}{1 hour} +  \frac{1 tank}{2 hours}
Make a common denominator by multiplying the first fraction by 2/2:
\frac{2 tanks}{2 hours} +  \frac{1 tank}{2 hours}
Adding them together, we get:
\frac{3 tanks}{2 hours}

So, now we know that the combined rate is 3 tanks per 2 hours... but we need to know how long it will take to fill only one tank. So, we need to find the unit value, which we do by doing this: 
\frac{3}{2} =  \frac{1}{x}
Then we can cross-multiply:
3x = 2
And divide both sides by 3 to get our final answer:
x =  \frac{2}{3}

So, it takes 2/3 of an hour, or 40 minutes.

Hope I helped, let me know if you have any questions :)
5 0
3 years ago
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