sprawdz prawdziwosc tozsamosci:
P = [ 2 tg x]/ [ 1 + tg^2 x] = [ (2 sin x)/ cos x] / [1 + ( sin ^2 x)/(cos ^2 x)] =
= [( 2 sin x)/ cos x] / [ (cos^2 x)/(cos^2 x) + ( sin^2 x) /( cos^2 x) ] =
= [ ( 2 sin x)/ cos x] / [ ( cos^2 x + sin ^2 x)/ cos^ 2 x ] =
= [ ( 2 sin x)/ cos x ] / [ 1/ cos^2 x)] = [ (2 sin x)/ cos x ] * cos ^2 x =
= 2 sin x * cos x = sin 2x = L
rozwiazanie w załączniku
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P = [ 2 tg x]/ [ 1 + tg^2 x] = [ (2 sin x)/ cos x] / [1 + ( sin ^2 x)/(cos ^2 x)] =
= [( 2 sin x)/ cos x] / [ (cos^2 x)/(cos^2 x) + ( sin^2 x) /( cos^2 x) ] =
= [ ( 2 sin x)/ cos x] / [ ( cos^2 x + sin ^2 x)/ cos^ 2 x ] =
= [ ( 2 sin x)/ cos x ] / [ 1/ cos^2 x)] = [ (2 sin x)/ cos x ] * cos ^2 x =
= 2 sin x * cos x = sin 2x = L
rozwiazanie w załączniku