question_answer

Simplify \[\frac{\mathbf{si}{{\mathbf{n}}^{\mathbf{2}}}\mathbf{30{}^\circ }\mathbf{.co}{{\mathbf{s}}^{\mathbf{2}}}\mathbf{ 30{}^\circ  - ta}{{\mathbf{n}}^{\mathbf{2}}}\mathbf{30{}^\circ }\mathbf{.ta}{{\mathbf{n}}^{\mathbf{2}}}\mathbf{60{}^\circ }}{{{\mathbf{(sin 60{}^\circ  + cos60{}^\circ )}}^{\mathbf{2}}}}\]

A)  \[\frac{-1}{2\sqrt{3}-4}\]                                              

B)  \[\frac{-13(\sqrt{3}+2)}{4}\]

C)  \[\frac{1}{4+2\sqrt{3}}\]

D)  \[\frac{13}{8}(\sqrt{3}-2)\]

E)  None of these