Упростите выражения:. Created by marataglyamov. algebra-ru

Упростите выражения:...

myasnikoxotnic А) $\frac{tga}{ctga} *cos^2a= \frac{sina}{cosa} : \frac{cosa}{sina} *cos^2a= \frac{sin^2a}{cos^2a} *cos^2a=sin^2a$
б) $( \frac{cos^2a}{sin^2a} -cos^2a)*(1+tg^2a-1)= \frac{cos^2a-sin^2acos^2a}{sin^2a} *tg^2a= \frac{cos^4a}{sin^2a}* \frac{sin^2a}{cos^2a}=cos^2a$

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sabrinaoy A) tga/ctga*(1-sin^2a)=sina/cosa/cosa/sina*cos^2a=sina/cosa *sina/cosa *cos^2a=sin^2a/cos^2a * cos^2a=sin^2a
б) (ctg^2a-cos^2a)*(1/co^2a-1)=(ctg^2a-cos^2a)*(1+tg^2a-1)=(ctg^2a-cos^2a)*tg^a=ctg^2a*tg^2a-cos^2a*tg^2a=cos^2a/sin^2a * sin^2a/cos^2a -cos^2a*sin^2a/cos^2a=1-sin^2a=cos^2a
ответ: а)sin^2a, б)cos^2a

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