Ask
your own question, for FREE!

Mathematics

OpenStudy (anonymous):

curvature of y=sin(x) at x=pi/4

Still Need Help?

Join the QuestionCove community and study together with friends!

OpenStudy (anonymous):

So if y = f(x) = sin x, then f'(x) = cos x and f''(x) = -sin x. This gives k = | -sin x | / [ 1 + (cos x)^2 ]^(3/2) for the curvature at the point x. For x = pi/4, we have that sin pi/4 = cos pi/4 = 1/sqrt(2). So the curvature at the point x=pi/4 is given by: k = (1/sqrt(2) ) / [ 1 + 1/2 ]^(3/2) = 2/ ( 3*sqrt(3) )

OpenStudy (anonymous):

Oooh! Thanks!

OpenStudy (anonymous):

You are welcome :)

Can't find your answer?
Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!

Join our real-time social learning platform and learn together with your friends!

Latest Questions

deathbed15:
Look at the table. Make a conjecture about the sum of the first 20 positive even numbers.

25 seconds ago
5 Replies
1 Medal

mathpass:
How did President Andrew Jackson's administration perceive the Five Civilized Tri

3 seconds ago
23 Replies
1 Medal

llamaleah:
"I guess you'll never become a samurai now, huh, Manjiro-chan?" "Why not?" Manjiro asked.

10 minutes ago
9 Replies
2 Medals

Loserlikeme1025:
Part a. At Rocking Horse Ranch, admission is $45 and trail rides are $22.50 per hour.

20 minutes ago
0 Replies
0 Medals

mathpass:
Which movement owes its start to the Second Great Awakening?

12 minutes ago
5 Replies
1 Medal

shonda:
Alex wants to start an IRA that will have $1,250,675 in it when he retires in 30 years.

24 minutes ago
0 Replies
0 Medals

llamaleah:
Explain why an author might choose precise words over vague words.

21 minutes ago
4 Replies
3 Medals

Gabby09:
Which of the following quotations best explains why Roosevelt believes he was ele

25 minutes ago
1 Reply
0 Medals

llamaleah:
Highlight examples of strong word choice. Toraemon grabbed the oars and pulled, while Jusuke tried to lower the sail.

20 minutes ago
7 Replies
2 Medals

LakersForever865:
Thesis Statement u2013 A thesis is a direct statement that explains the topic of your essay, what you believe about that topic, and why you believe it.

29 minutes ago
3 Replies
2 Medals