1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Trigonometric Identities- simplify sin^4x - cos^4x

  1. Sep 14, 2006 #1
    hey just wonderin if any1 could give me a hint as to the best method to prove the following trigonometric indentity:

    sin^4x-cos^4x = 1 - 2cos^2x

    i tried the side more complicated first...but cant seem to hav any luck...other then maing it more complicated!!!

    umm the x's are meant to be thetas...but didnlt ahv the symbol handy.and its meant to be read sign to he power 4 theta....really aprreciate any ideas for this one!!!
  2. jcsd
  3. Sep 14, 2006 #2
    sorry got guys!!!...kool just factor out as 2 lots of sin^2theta...use pythagorean indentity to sub and then cancel like terms.....WORKS a charm lol...thanks if anyoe read tis anyways!!
  4. Sep 14, 2006 #3
    got it guys*
  5. Dec 1, 2007 #4
    How To Simplify and Prove: sin^4x-cos^4x

    Given: sin^4x-cos^4x

    (sin^2x-cos^2x)(sin^2x+cos^2x) Factoring
    (1)(sin^2x-cos^2x) Pythagorean Identity
    (1)(1-cos^2x-cos^2x) Pythagorean Identity
    (1)(1-2cos^2x) Combine Like Terms
    1-2cos^2x Multiply

    Hope This Helps. :approve:
  6. Dec 1, 2007 #5


    User Avatar
    Science Advisor
    Homework Helper

    Nice job LadyJ123. But in the future, don't post complete solutions to problems. Just give hints. It's in the forum rules.
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?

Similar Discussions: Trigonometric Identities- simplify sin^4x - cos^4x
  1. X^3 - 4x^2 + 4x +2 = 0 (Replies: 3)