Пожалуйста помогите решить уравнение 3sin(270°+x)+корень3sin(180°-x)=0. Created by yakostinaalin. matematika-ru

Пожалуйста помогите решить уравнение 3sin(270°+x)+корень3sin(180°-x)=0...

August 2022 2 9 Report

Пожалуйста помогите решить уравнение 3sin(270°+x)+корень3sin(180°-x)=0

Liamus

Verified answer

$3\sin(270^\circ+x)+\sqrt{3}\sin(180^\circ-x)=0;\\
\sin(270^\circ+x)=-\cos x;\,\,\,\sin(180^\circ-x)=\sin x; \\ -3\cos x+\sqrt{3}\sin x=0;|:\sqrt{3}\cos x\neq 0\\ -\sqrt{3}+{\rm tg}\, x=0;\\
{\rm tg}\, x=\sqrt{3};\quad x=\frac{\pi}{3}+\pi n, n\in \mathbb{Z}.$

1 votes Thanks 2

sedinalana

Verified answer

3sin(270+x)+√3sin(180-x)=0
-3cosx+√3sinx=0/cosx
√3tgx-3=0
√3tgx=3
tgx=√3
x=π/3+πk,k∈z

2 votes Thanks 1

Answers & Comments

Verified answer

Verified answer

yx3cos x 2 pozhalujsta srochno

5!...

1 2xgt2 pomogite pozhalujsta

pomogite pozhalujsta uprostit vyrazhenieec1f3d8cae725ea286804c3ea58437c2 38957

pravilno li ya reshila najti ploshad figury ogranichennoj liniyami y2 x2 x0

be...

srochno nuzhna pomosh perevedite sleduyushie predlozheniya ispolzuya present simp

did 1 when mothers day last year it in april 2 what

sos sos srochno nuzhna pomosh opredelit reakcii v sterzhnyah konstrukcii p140

was watching) the film...

рекомендуемые вопросы

Helpful Links

Helpful Social