sin2a+sin6a
----------------=
cos2a+cos6a
sin2a+sin6a=2sin4a cos2a
cos2a+cos6a=2coa4a cos2a
(sin2a+sin6a)/(cos2a+cos6a)=(2sin4a cos2a)/(2coa4a cos2a)=sin4a/cos4a=tg4a