Упростите выражение:sin(19п/2+x)+cos(7п-x)+cos(7п/2-x)+sin(5п-x). Created by dcheremnyx2011. algebra-ru

2-x)+sin(5п-x)...

dcheremnyx2011 @dcheremnyx2011

August 2021 1 18 Report

Упростите выражение:
sin(19п/2+x)+cos(7п-x)+cos(7п/2-x)+sin(5п-x)

Answers & Comments

kalbim

Verified answer

Sin(19π/2 + x) = sin(10π - π/2 + x) = -sin(π/2 - x) = -cosx
cos(7π - x) = cos(π - x) = -cosx
cos(7π/2 - x) = cos(4π - π/2 - x) = cos(π/2 + x) = -sinx
sin(5π - x) = sin(π - x) = sinx
-cosx - cosx - sinx + sinx = -2cosx

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