question_answer

Simplify Sin12 \[\theta \]- \[\mathbf{Co}{{\mathbf{s}}^{\mathbf{12}}}\] \[\theta \].

A)  \[Cos2~\theta (1-Si{{n}^{2}}\theta ~Co{{s}^{2}}\theta )\text{ }(1-3Si{{n}^{2}}\theta ~Co{{s}^{2}}\theta )\]

B)   \[Co{{s}^{2}}\theta ~(1-Si{{n}^{2}}\theta ~Co{{s}^{2}}\theta )\text{ }(1-2\text{ }Si{{n}^{2}}\theta ~Co{{s}^{2}}\theta )\]

C)  \[Cos2\theta (1-2\text{ }Si{{n}^{2}}\theta Co{{s}^{2}}\theta )(1-3\text{ }Si{{n}^{2}}\theta ~Co{{s}^{2}}\theta )\]

D)  \[Si{{n}^{2}}\theta (1-2\text{ }Si{{n}^{2}}\theta Co{{s}^{2}}\theta )\text{ }(1-3\text{ }Si{{n}^{2}}\theta Co{{s}^{2}}\theta )\]

E)  None of these