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 Sparse Sine Settlement (Posted on 2014-09-03)
Find the minimum positive integer N such that:

(sin 45o)-1*(sin 46o)-1+ (sin 47o)-1*(sin 48o)-1+.....+ (sin 133o)-1*(sin 134o)-1
= (sin No)-1

 No Solution Yet Submitted by K Sengupta No Rating

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 computer-aided solution | Comment 1 of 2
5   point 10
10   Dr=#pi/180
20   for I=45 to 133 step 2
30      T=T+1/(sin(I*Dr)*sin((I+1)*Dr))
40   next
50   Rcp=1/T
60   N=atan(Rcp/sqrt(1-Rcp*Rcp))/Dr
70   print N

does calculations to 48 positions after the decimal point and finds the answer is 1.0 degrees.

 Posted by Charlie on 2014-09-03 18:03:11
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