Упростите (Sin x +Cos x)²+1-Sin 2x. Created by ssea. algebra-ru

Упростите (Sin x +Cos x)²+1-Sin 2x...

ssea @ssea

March 2022 1 17 Report

Упростите
(Sin x +Cos x)²+1-Sin 2x

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ShirokovP

Verified answer

(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

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