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Trigonometric Function

  1. Apr 29, 2009 #1
    1. The problem statement, all variables and given/known data
    Pardon me first of all for any mistakes, I study in a French school so I might use incorrect terms

    I have to find the solutions for the following formula:

    sin^2 ( x - pi/4 ) = 1

    2. Relevant equations

    3. The attempt at a solution
    I've mostly only worked with regular sins, not those that are to the power of n..

    most of the time i'd isolate everything then do arcsin(...) and so on but I am not sure what to do exactly here.
  2. jcsd
  3. Apr 29, 2009 #2


    Staff: Mentor

    You have something being squared to produce 1. That means the thing being squared is either 1 or -1. This gives you two equations involving sin(x - pi/4). Find solutions for each one.
  4. Apr 29, 2009 #3


    User Avatar
    Homework Helper

    if you take the square root of both sides, on the left side you will get sin(x- pi/4)

    and +/- 1 on the right side. Take each case and find x, then combine all of the answers.
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