2+х) sinx=√3cosx...

pollyver @pollyver

August 2022 1 19 Report

20 БАЛЛОВ!!!
2sinnx(7п/2+х) sinx=√3cosx

Answers & Comments

Per4ikPervoiStepeni 2sin(7π/2 + x)*sinx = √3*cosx
2sin(π/2 + x)sinx = √3cosx
2cosxsinx - √3cosx = 0
cosx(2sinx - √3) = 0
1) cosx = 0
x₁ = π/2 + πk, k∈Z
2) 2sinx - √3 = 0
sinx = √3/2
x = (-1)^(n)*arcsin(√3/2) + 2πn, n∈Z
x₂ = (-1)^(n)*(π/3) + 2πn, n∈Z

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