Determine the minimum value of a positive integer N, satisfying:
cos 96o + sin 96o
tan 19No = -----------------
cos 96o - sin 96o
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-
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