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Inconsiderable Integer Illation (Posted on 2014-11-16) Difficulty: 3 of 5
Determine the minimum value of a positive integer N, satisfying:
           cos 96o + sin 96o
tan 19No = -----------------
           cos 96o - sin 96o

No Solution Yet Submitted by K Sengupta    
Rating: 5.0000 (1 votes)

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Some Thoughts re: Actual answer -- calculator solution | Comment 5 of 10 |
(In reply to Actual answer -- calculator solution by Charlie)

I did the same , but copied the wrong coefficient  (17  instead of 159):

 LS= -0.809784 approx.   

arctan(19N)= arctan( -0.809784 )=-31o +N*180o

This angle should be divisible by 19

for k=17 it is  3021

LS=RS= -0.809784 approx.

so the answer is N  =   3021/19= 159

I was exhausted  when I have typed in my answer,- since I HAVE SPENT A LOT OF TIME trying to solve it analytically. 

  Posted by Ady TZIDON on 2014-11-16 15:41:51
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