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Formula
Solve the equation
Answer
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Graph
$y = \tan\left( x \right)$
$y = \sqrt{ 3 }$
$x$Intercept
$\left ( 0 , 0 \right )$
$y$Intercept
$\left ( 0 , 0 \right )$
$\tan\left( x \right) = \sqrt{ 3 }$
$x = \dfrac { \pi } { 3 } + n \pi \left ( n \in \mathbb {Z} \right )$
Solve the equation
$\color{#FF6800}{ \tan\left( x \right) } = \sqrt{ \color{#FF6800}{ 3 } }$
$ $ Find the interval that satisfies the basic condition of each formula $ $
$\color{#FF6800}{ \tan\left( x \right) } = \sqrt{ \color{#FF6800}{ 3 } } \left ( \text{However (or only)} \color{#FF6800}{ x } \neq \color{#FF6800}{ \frac { \pi } { 2 } } \color{#FF6800}{ + } \color{#FF6800}{ n } \color{#FF6800}{ \pi } \left ( n \in \mathbb {Z} \right ) \right )$
$\color{#FF6800}{ \tan\left( x \right) } = \sqrt{ \color{#FF6800}{ 3 } }$
$ $ Solve the equation $ $
$\color{#FF6800}{ x } = \color{#FF6800}{ \dfrac { \pi } { 3 } } \color{#FF6800}{ + } \color{#FF6800}{ n } \color{#FF6800}{ \pi } \left ( n \in \mathbb {Z} \right )$
$\color{#FF6800}{ x } = \color{#FF6800}{ \dfrac { \pi } { 3 } } \color{#FF6800}{ + } \color{#FF6800}{ n } \color{#FF6800}{ \pi } \left ( n \in \mathbb {Z} \right )$
$ $ Find the intersection of the solution and domain $ x \neq \dfrac { \pi } { 2 } + n \pi \left ( n \in \mathbb {Z} \right )$
$\color{#FF6800}{ x } = \color{#FF6800}{ \dfrac { \pi } { 3 } } \color{#FF6800}{ + } \color{#FF6800}{ n } \color{#FF6800}{ \pi } \left ( n \in \mathbb {Z} \right )$
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