Question 1126640
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I'd like to make a couple of comments.



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1.  First, the analysis of the second factor by @greenestamps is <U>incorrect</U>.


    The correct way to analyse it is THIS:


        2*cos(x) + 1 = 0   is equivalent to


        cos(x) = {{{-1/2}}}


    and has the solutions  x = {{{2pi/3 + 2k*pi}}},  k = 0, +/-1, +/-2, . . .    and

                           x = {{{4pi/3 + 2k*pi}}},  k = 0, +/-1, +/-2, . . .  




2.  Regarding the <U>first</U> factor, I do not understand, what it represents:


    (tan^2(x) - 16)  (tan(x) in degree 2)   or   (tan(2x) - 16).


    Probably, you are a novice in this forum.


     If so, then please be accurate and attentive in writing your formulas.


     Use properly parentheses and other mathematical symbols.
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Otherwise, you will not get all possible benefits from this forum.