Use a common denominator of (1-cos4v)(1+cos4v) = 1 - cos^2 4v = sin^2 4v
Then add up the numerator terms.
(1 + cos 4v -(1 - cos4v)/sin^2 4v
= 2 cos 4v/sin^2 4v
use trig identities to rewrite:
(1/(1-cos4v))-(1/(1+cos4v))
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