tex]Heeeeeeeeelp!!! Спростити вирази. Thanks in advance...

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[tex] \frac{tg^{5}a + cos^{3}a }{1+tg^{2}a } [/tex]Heeeeeeeeelp!!! Спростити вирази. Thanks in advance.

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NNNLLL54

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$\frac{tg^5a+cos^3a}{1+tg^2a} = \frac{\frac{sin^5a}{cos^5a}+cos^3a}{\frac{1}{cos^2a}}=cos^2a\cdot (\frac{sin^5a}{cos^5a}+cos^3a)=\\\\= \frac{sin^5a}{cos^3a}+cos^5a=tg^3a\cdot sin^2a+cos^5a$

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