Question

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

Answer 1

`\huge \boxed{ \boxed{2 + √(3)}}`

Step-by-step 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°)=
  `(√(3))/(2)`
• 
  `\sin( {30}^(o) ) = (1)/(2)`

let's solve:

1. 
   `\sf sustitute \: the \: value \: of \: \sin( {30}^(o) ) and \cos( {30}^(o) ) \\ \sf (1 + ( √(3) )/(2))/(1 - (1)/(2) )`
2. 
   `\sf simplify : \\ ( (2 + √(3) )/(2) )/( (1)/(2) )`
3. 
   `\sf simplify(fraction) : \\ (2 + √(3) )/(2) / (1)/(2) \\ (2 + √(3) )/(2) * 2 \\ \therefore 2 + √(3)`