2 cosx + siny = -1...

neposeda1881 @neposeda1881

August 2022 1 4 Report

решите систему :
x + y = Пи/2
cosx + siny = -1

Answers & Comments

sedinalana

Verified answer

X+y=π/2⇒y=π/2-x
cosx+siny=-1
cosx+sin(π/2-x)=-1
cosx+cosx=-1
2cosx=-1
cosx=-1/2
x=-2π/3⇒y=π/2+2π/3=7π/6
x=2π/3⇒y=π/2-2π/3=4π/3

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