Question

Cos60+sin60
Divided
Cos60-sun60

Answer 1

Answer:

Refer to the above attachment

Answer 2

$\frac{Cos60° + Sin60° }{Cos60° - Sin60° }$

$\frac{1 + \frac{ \sqrt[]{3} }{2} }{1 - \frac{ \sqrt[]{3} }{2} }$

$\frac{ \frac{2 + \sqrt{3} }{2} }{ \frac{2 - \sqrt{3} }{2} }$

$\frac{{2 + \sqrt{3} } }{ {2 - \sqrt{3} } }$

Rationalizing the denominator, we get :-

$\frac{{2 + \sqrt{3} } }{ {2 - \sqrt{3} } } \times \frac{{2 + \sqrt{3} } }{ {2 + \sqrt{3} } }$

$\frac{{(2 + \sqrt{3})^{2} } }{{(2)^{2} - { \sqrt{3} }^{2} }}$

$\frac{4 + 3 + 4 \sqrt{3} }{4 - 3}$

$\frac{7+ 4\sqrt{3} }{1}$

$7 + 4 \sqrt{3}$