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Math Help - Need help solving an unknown

  1. #1
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    Need help solving an unknown

    I am having trouble solving for x in this equation

    0=10sin(1.256637061*3+x)

    If someone could help, it would be greatly appreciated.
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  2. #2
    Super Member Anonymous1's Avatar
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    Quote Originally Posted by mortalcyrax View Post
    I am having trouble solving for x in this equation

    0=10sin(1.256637061*3+x)

    If someone could help, it would be greatly appreciated.
    You could simply argue that \sin(0) = 0.

    0=10\times\sin(\underbrace{1.26\cdot3+x}) Set this part equal to 0 and solve.

    Or,

    0=10\times\sin(1.26\cdot 3+x)

    \implies \sin(3.77+x) =0

    \implies \sin^{-1}(\sin(3.77+x)) =\sin^{-1}(0)

    \implies 3.77+x =0

    \implies \fbox{x= -3.77}
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  3. #3
    Super Member Anonymous1's Avatar
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    Note that their are infinitely many solutions to this equations since

    \forall n \in \mathbb{Z}

    \sin(n\cdot \pi) = 0
    Last edited by Anonymous1; May 10th 2010 at 07:26 AM. Reason: wrote N, meant Z.
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  4. #4
    Member mohammadfawaz's Avatar
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    So the final solution will be: 1.256637061*3+x = k\pi where k belongs to Z. Hence, x=k\pi-1.256637061*3
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