Упростите: (1-cos2[tex] \alpha [/tex])/(1+[tex] tg^{2} [/tex][tex] \alpha [/tex]). Created by Пронькa. matematika-ru

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Упростите: (1-cos2[tex] \alpha [/tex])/(1+[tex] tg^{2} [/tex][tex] \alpha [/tex])

Матов

$\frac{1+cos2a}{1+tg^2a}=\frac{1+2cos^2a-1}{1+\frac{sin^2a}{cos^2a}} =\\
 \frac{2cos^2a}{\frac{1}{cos^2a}}=2cos^4a$

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