21-08-2018
Mathematics

contestada

if the point`(x, sqrt(3)/3)` is on the unit circle, what is x?

Respuesta :

konrad509 konrad509

21-08-2018

[tex] x^2+\left(\dfrac{\sqrt3}{3}\right)^2=1^2\\\\
x^2+\dfrac{3}{9}=1\\\\
x^2+\dfrac{1}{3}=1\\\\
x^2=\dfrac{2}{3}\\\\
x=\sqrt{\dfrac{2}{3}}\vee x=-\sqrt{\dfrac{2}{3}}\\\\
x=\dfrac{\sqrt6}{3} \vee x=-\dfrac{\sqrt6}{3}

[/tex]

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