Find the value of sin 45

^{o}– cos 30^{o}-
**A.**

(frac{2+sqrt{3}}{4}) -
**B.**

(frac{sqrt{2}+sqrt{3}}{4}) -
**C.**

(frac{sqrt{2}+sqrt{3}}{2}) -
**D.**

(frac{sqrt{2}-sqrt{3}}{2})

##### Correct Answer: Option D

##### Explanation

(Sin 45 – cos 30\

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

=frac{sqrt{2}-sqrt{3}}{2})