anonymous
  • anonymous
help!!
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
1 Attachment
anonymous
  • anonymous
how do I write the equation of the graph?
anonymous
  • anonymous
Tell me what the graph of y = cos x looks like.

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

anonymous
  • anonymous
its (0,1) (pi,-1) (2pi,1) (3pi,-1) etc
anonymous
  • anonymous
but with the dots in um the up and down motions (from half of 0 and pi , pi and 2pi,
anonymous
  • anonymous
So what is the difference between this one and cosx?
anonymous
  • anonymous
its sin ? and the graph is given but I don't know how to get an equation
anonymous
  • anonymous
nvm its cos
ranga
  • ranga
The sine function is zero when x = 0. A cosine function is 1 when x = 0. So we need to choose the acos(bx) here. a is the amplitude. Amplitude is how much above or how much below the mean line (which is x axis here) the curve swings. Could you figure out the amplitude from the diagram?
anonymous
  • anonymous
a = 3
anonymous
  • anonymous
so y = 3cos.. bx
ranga
  • ranga
Yes. a = 3. So the equation is y = 3cos(bx). We still need to figure out b. The period of a cosine or a sine function is how long before the curve repeats itself. Could you look at two successive peaks in the diagram and figure out after how much x the function repeats itself?
anonymous
  • anonymous
every 3pi?
anonymous
  • anonymous
or every 6pi/2?
ranga
  • ranga
No. The curve attains a peak at x = 0. The next peak occurs at x = 6pi. The period is how much x has passed before the curve starts to repeat itself. So what is the x distance between peak-to-peak?
anonymous
  • anonymous
6pi/2
ranga
  • ranga
No. At x = 0, first peak. At x = 6pi the next peak. The difference in x is: 6pi - 0 = 6pi. Every 6pi the curve repeats itself. You can take the distance between two successive low points also and it will still be 6pi. So the period of this curve is 6pi.
anonymous
  • anonymous
OH
anonymous
  • anonymous
y=3cos (6pi)x ?
ranga
  • ranga
The formula for the period of cos(bx) is: Period = 2pi / b Looking at the graph we found the period to be 6pi. Plug that into the formula: 6pi = 2pi / b Find b.
anonymous
  • anonymous
2pi/6pi = pi/3pi
ranga
  • ranga
The pi will cancel out. so b = ?
anonymous
  • anonymous
yes sorry
anonymous
  • anonymous
1/3
ranga
  • ranga
Yes. Put them all together and the curve represented in the graph is: y = 3cos(1/3*x)
anonymous
  • anonymous
okay thank you!! a lot!
ranga
  • ranga
You are welcome.

Looking for something else?

Not the answer you are looking for? Search for more explanations.