(UESPI) Qual a medida do ângulo agudo formado pelas retas com equações y = √3x/3 -1 e y = √3x -3?.... Pergunta de ideia deRevolussaurus

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(UESPI) Qual a medida do ângulo agudo formado pelas retas com equações y = √3x/3 -1
e y = √3x -3?

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fsgyugysy $tg \alpha= |\frac{mr -ms}{1+mr.ms}|$

coeficiente angular da primeira reta: mr=√3/3

coeficiente angular da segunda reta: ms=√3

$tg \alpha= |\frac{mr -ms}{1+mr.ms}|$

$tg \alpha= |\frac{ \frac{ \sqrt{3} }{3} - \sqrt{3}}{1+\frac{ \sqrt{3} }{3}.\sqrt{3}}|$

$tg \alpha= |\frac{ \frac{ \sqrt{3} }{3} - 3\frac{ \sqrt{3} }{3} }{1+\frac{ \sqrt{3} }{3}.\sqrt{3}}|$

$tg \alpha= | \frac{\frac{-2 \sqrt{3} }{3}}{1+1}|$

$tg \alpha= | \frac{\frac{-2 \sqrt{3} }{3}}{2}|$

$tg \alpha= | \frac{-2 \sqrt{3} }{3}. \frac{1}{2}|$

$tg \alpha= | \frac{-2 \sqrt{3} }{6}|$

$tg \alpha= | \frac{- \sqrt{3} }{3}|$

$tg \alpha= \frac{\sqrt{3} }{3}$

$\alpha=30^{0}$

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