упростите 1/1+ tg ^2 альфа вся эта дробь + sin ^2 альфа. Created by sea123. matematika-ru

1+ tg ^2 альфа вся эта дробь + sin ^2 альфа...

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$\frac{1}{1+tg^2 \alpha } +sin^2 \alpha = \frac{1}{1+ \frac{sin^2 \alpha }{cos^2 \alpha } } +sin^2 \alpha = \frac{cos^2 \alpha }{cos^2 \alpha +sin^2 \alpha } +sin^2 \alpha =\\=cos^2 \alpha +sin^2 \alpha =1$

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ПрофиЗнания $\frac{1}{1+ tg^{2} \alpha } + sin^{2} \alpha = \frac{1}{1+ \frac{ sin^{2} \alpha }{cos ^{2} \alpha } } + cos^{2} \alpha$ = $= \frac{ cos^{2} \alpha }{ cos^{2} \alpha + sin^{2} \alpha } +sin^{2} \alpha = cos^{2} \alpha + sin^{2} \alpha =1$

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