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Computational challenge?

Find the smallest positive real number x such that

sin(355x/113) - sin(πx) = 1

Your answer should be accurate at least to 5 places after the decimal point.

Note: I have an answer to this question, but I would like to have it corroborated.

1 Answer

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  • Paul
    Lv 7
    6 years ago

    x = 1.83614174340580×10^7

    That's 18361417.4340580

    That's seven decimal places.

    Assuming of course you're working in radians.

    Response to asker's comment:

    Yes it is.

    https://www.wolframalpha.com/input/?i=sin%28355%28...

    Maybe it's because I made a mistake with the decimal point - I've corrected that mistake now. If it still doesn't come out to one for you - check that your calculator is in radians.

    Update:

    If your calculator is set to degrees try 1.0520317248495×10^9°

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