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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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Solution solution Comment 10 of 10 |

Let's multiply both the numerator and the denominator by
sin45(=cos45)

we get : sin(96+45)/cos(96+45)=tan141

tan141=tan(141+180k)=tan(19*N)

For k=16  141+180k is divisible by 19,

rendering 3021/19= 159  as an answer.


-at last-







0=


  Posted by Ady TZIDON on 2014-11-17 09:35:26
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