Упростите
(Sin x +Cos x)²+1-Sin 2x
Ответы на вопрос
Ответил ShirokovP
0
(sinx + cosx)^2 + 1 - sin2x =
= sin^2x + 2sinxcosx + cos^2x + 1 - sin2x =
= sin^2x + sin2x + cos^2x + 1 - sin2x =
= 1 + sin2x + 1 - sin2x =
= 1 + 1 =
= 2
= sin^2x + 2sinxcosx + cos^2x + 1 - sin2x =
= sin^2x + sin2x + cos^2x + 1 - sin2x =
= 1 + sin2x + 1 - sin2x =
= 1 + 1 =
= 2
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