Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

FreeTrader

  • 4 years ago

The infinite series for sinx, cosx, and -sinx tell us that for small angles, sinx is approximately x, and cosx is approximately (1-.5x^2). With these approximations, check that (sinx)^2 + (cosx)^2 is approximately 1. I am stuck. Maybe I am approaching it wrong. Any hints?

  • This Question is Closed
  1. Roachie
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    x^2 + 1^2 = 1 ( just using the first terms for the series expansions ) this yields a small x fitting the series approximation

  2. Roachie
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    in other words is x is 0 in the limit then 1 = 1

  3. FreeTrader
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Thanks

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

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy