Question

Упростить.
cos^4a+sin^2a•cos^2a+sin^2a

Answer 1

$cos^4a+sin^2 a*cos^2a+sin^2 a=\\(cos^4 a+cos^2 a*sin^2 a)+sin^2 a=\\cos^2 a*(cos^2 a+sin^2 a)+sin^2 a=cos^2 a*1+sin^2 a=\\cos^2 a+sin^2 a=1$
ответ: 1