Got Homework?

Connect with other students for help. It's a free community.

  • across
    MIT Grad Student
    Online now
  • laura*
    Helped 1,000 students
    Online now
  • Hero
    College Math Guru
    Online now

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

nexis Group Title

If someone could explain the thought process behind 1F-5 from http://ocw.mit.edu/courses/mathematics/18-01sc-single-variable-calculus-fall-2010/part-b-implicit-differentiation-and-inverse-functions/problem-set-2/MIT18_01SC_pset1prb.pdf that would be really helpful. Where does the -1^k part from this formula sin(π/2+ kπ)=(−1)^k come from? (part of the solution @ http://ocw.mit.edu/courses/mathematics/18-01sc-single-variable-calculus-fall-2010/part-b-implicit-differentiation-and-inverse-functions/problem-set-2/MIT18_01SC_pset1sol.pdf)

  • 2 years ago
  • 2 years ago

  • This Question is Closed
  1. hellow Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    k even, i.e. k=2n for some integer n, then :\[\sin(\pi/2+k \pi)= \sin(\pi/2 + 2n \pi )= 1\]k odd, i.e. k=2n-1 for some integer n:\[\sin(\pi/2+k \pi)= \sin(\pi/2 + (2n-1) \pi )= -1\] (Remember this from trig? You can see this on a graph of y=sin(theta)) We find the y-coordinates of the points by substituting the x-coordinates into sin(x)+sin(y)=1/2, and using the values calculated above. It turns out only some of the x-values will give real answers for y, so only these x-coordinates are kept. We are then left with the x-coordinates and y-coordinates that work - the points we wanted.

    • 2 years ago
    • Attachments:

See more questions >>>

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...


  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.