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3 years ago

I need help pls. Solve 1+cos 30º/1-sin 30º. Plz help me

Physics

1 answer:

Maurinko [17]3 years ago

6 0

Answer:

$\huge \boxed{ \boxed{2 + \sqrt{3}}}$

Explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>

trigonometry
PEMDAS

<h3>given:</h3>

$\frac{1 + \cos( {30}^{o} ) }{1 - \sin( {30}^{o} ) }$

<h3>tips and formulas:</h3>

cos(30°)= $\frac{\sqrt{3}}{2}$
$\sin( {30}^{o} ) = \frac{1}{2}$

<h3>let's solve:</h3>

$\sf sustitute \: the \: value \: of \: \sin( {30}^{o} ) and \cos( {30}^{o} ) \\ \sf \frac{1 + \frac{ \sqrt{3} }{2}}{1 - \frac{1}{2} }$
$\sf simplify : \\ \frac{ \frac{2 + \sqrt{3} }{2} }{ \frac{1}{2} }$
$\sf simplify(fraction) : \\ \frac{2 + \sqrt{3} }{2} \div \frac{1}{2} \\ \frac{2 + \sqrt{3} }{2} \times 2 \\ \therefore 2 + \sqrt{3}$

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Explanation:

We have,

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