
(sin^2t -1 /cos^4t)+tg^2t

(sin^2t-1+tg^2tcos^4t)/cos^4t=(sin^2t-1+cos^2tsin^2t)/cos^4t=(sin^2tcos^2t-cos^2t)/cos^4t=
=(sin^2t-1)/cos^2t=-cos^2t/cos^2t=-1
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(sin^2t-1+tg^2tcos^4t)/cos^4t=(sin^2t-1+cos^2tsin^2t)/cos^4t=(sin^2tcos^2t-cos^2t)/cos^4t=
=(sin^2t-1)/cos^2t=-cos^2t/cos^2t=-1