Computational challenge?

Question

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.

Paul · Answer

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%281.83614174340580%C3%9710%5E7%29%2F113%29+-+sin%28%CF%80*1.83614174340580%C3%9710%5E7%29

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°

Computational challenge?

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