Solve for \( t, 0 \leq t<2 \pi \) \( 16 \sin (t) \cos (t)=4 \sin (t) \)

A. \( \arccos \left(-\frac{\sqrt{2}}{2}\right)=x \)

C. \( \arcsin \frac{\sqrt{2}}{2}=x \)

B. \( \arccos \left(-\frac{\sqrt{2}}{2}\right)=x \)

Solve the equation \( 5 \sin 2 x+2=0 \) for \( 0^{\circ} \leq x \leq 360^{\circ} \) Correct your answer to 1 decimal place.

Realiza lo que se indica. Halla \( \alpha \) y \( \beta \) para que las relaciones sean válidus \( \tan \left(3 \alpha+15^{\circ}\right)=\cot \left(\beta+6^{\circ}\right) \) y \( \sec \left(\alpha+54^{\circ}\right)=\cos \left(2 \beta-12^{\circ}\right) \) \( \tan (3 \alpha+15)=\cot (\beta+6)(\sec (\alpha+54)=\cos (2 \beta-12) \)