Himpunan penyelesaian dari persamaan adalah.... Question from @hermawansusanto

Takamori37 Dengan:
$\displaystyle \sqrt{3}\tan x=-1 \\\\ \tan x=-\frac{1}{\sqrt{3}} \\\\ \tan x=-\frac{1}{3}\sqrt{3} \\\\ \tan x=\tan(-30^o)$
Maka, solusi untuk x adalah:
$x=-30^o+k.180^o, \ \ k\in \mathbb{Z} \\ \text{Dengan }k=\{1,2\} \\ x_1=-30^o+180^o=\boxed{150^o}\\x_2=-30^o+360^o=\boxed{330^o}$
Sehingga,
$HP=\{x|150^o,330^o\}$

1 votes Thanks 1

liwonsubagyo √3 tan x = -1
tan x = -1/√3 dirasionalkan -1√3/√3√3√ = 1/3√3
tan x = tan ( -30°)
x = -30 + k,180
anggota k= { 1,2 }
360 : 2 = 180°
360 : 1 = 360°
x1 = -30 + 180 = 150°
x2 = -30 + 360 = 330°
jadi himpunan x ={ 150°,330° }
maaf dek kalau salah

1 votes Thanks 1

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