Ответ:
(sina + cosa)^2
Объяснение:
cos^2 (2a)+4sin^2(a)*cos^2(a) =
= cos^2(2a) + 2sin^2(2a) =
= ( cos^2(2a) + sin^2(2a)) + sin^2(2a) =
= 1 + sin^2(2a) =
= sin^2(a) + cos^2(a) + 2sin(a)cos(a) =
= (sina + cosa)^2
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Ответ:
(sina + cosa)^2
Объяснение:
cos^2 (2a)+4sin^2(a)*cos^2(a) =
= cos^2(2a) + 2sin^2(2a) =
= ( cos^2(2a) + sin^2(2a)) + sin^2(2a) =
= 1 + sin^2(2a) =
= sin^2(a) + cos^2(a) + 2sin(a)cos(a) =
= (sina + cosa)^2