cos^2 30° + cos30° sin30° + sin^2 30° / cos^3 30° - sin^3 30° = ?

Question

\(\frac{cos^2 30° + cos30° \,sin30°+sin^2\,30°}{cos^3\, 30°-sin^3\,30°} = ?\)

(1) 1

(2) √3 +1

(3) √3 -1

(4) \(\frac{1}{\sqrt{3-1}}{}\)

Answer 1

Correct option is (2) √3 +1