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Sparse Sine Settlement (Posted on 2014-09-03) Difficulty: 3 of 5
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    
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Solution 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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