Question

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

Answer 1

Answer:

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

Explanation:

to understand this

you need to know about:

• trigonometry
• PEMDAS

given:

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

tips and formulas:

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

let's solve:

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