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Math Help - Find all solutions

  1. #1
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    Find all solutions

    Find all solutions for the following:

    2Cos(3t)-1=0

    I tried and ended up with t=20 degrees. However I have a feeling that isn't right.
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  2. #2
    Senior Member nikhil's Avatar
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    So you want a general solution

    Quote Originally Posted by Kitty216 View Post
    Find all solutions for the following:

    2Cos(3t)-1=0

    I tried and ended up with t=20 degrees. However I have a feeling that isn't right.
    2Cos(3t)-1=0
    Cos(3t)=1/2
    Cos(3t)=Cos(pi/3)
    [if cos(a)=cos(b) then
    a=2n(pi)+-b where n is any integer]
    3t=2n(pi)+-(pi/3)
    t=(2/3)n(pi)+-(pi/9)
    here n is any integer (like 0,1,-1 etc.)
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  3. #3
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    This example here is very similar to your question (except it's sine), but im sure you can figure it out from the example. SOLVING TRIGONOMETRIC EQUATIONS
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  4. #4
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    thanks guys!!
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