Question

Evaluate, 2- tan 30*
_______
1-tan 30*

Answer 1

Hey !!! ^_^

Here is your answer

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$\frac{2 - tan30}{1 - tan30} \\ \\ as \: we \: know \: the \: value \: of \: tan30 = \frac{1}{ \sqrt{3} } \\ \\ so... \\ \frac{2 - \frac{1}{ \sqrt{3} } }{1 - \frac{1}{ \sqrt{3} } } \\ \\ = \frac{ \frac{2 \sqrt{3 } - 1 }{ \sqrt{3} } }{ \frac{ \sqrt{3} - 1 }{ \sqrt{3} } } \\ \\ = \frac{2 \sqrt{3 } - 1 } { \sqrt{3} - 1} \\ \\ = 2$


I HOPE IT Will Help you

Thank you !!

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Answer 2

$\huge \bf{hey}$


$\huge{ \mathfrak{here \: is \: answer}}$
$\bf{ \frac{2 - tan30 \degree}{1 - tan30 \degree}}$

the value of tan 30° is

$\huge \frac{1}{ \sqrt{3} }$

hence put value and get result

$\sf{ \frac{2 - \frac{1}{ \sqrt{3} } }{1 - \frac{1}{ \sqrt{3}} } }$
$\bf{ \frac{ \frac{2 \sqrt{3 } - 1}{ \sqrt{3} } }{ \frac{ \sqrt{3 } - 1 }{ \sqrt{3}} } }$

$\bf{ \frac{2 \sqrt{3} - 1}{ \sqrt{3} - 1} }$

$\huge{ = 2}$

$\huge \boxed {\boxed{hope \: it \: helps}}$

$\huge{ \mathfrak{thanks}}$