If \( \begin{aligned} \tan x & =-\frac{4}{3}, x \text { in Quadrant IV, then find (without finding } x \text { ) : } \\ \sin (2 x) & =\square \\ \cos (2 x) & =\square \\ \tan (2 x) & =\square\end{aligned} \)

Thid an angle 9 coterminal to \( 1066^{\circ} \), where \( 0^{\circ} \leq 0<360 \)

Solve \( 8 \sin (6 x)=7 \) for the two smallest positive solutions \( A \) and \( B \), with \( A<B \) \( A=\square \) \( B=\square \) Give your answers accurate to at least two decimal places.

If \( \theta=\frac{5 \pi}{6} \), then \( \cos (\theta)=\square \) \( \sin (\theta)=\square \) Give exact values. No decimals allowed!

Corvert the following angle from degrees to radians. Express your answer in simplest form.

Fid an angle \( \theta \) coterminal to \( -561^{\circ} \), where \( 0^{\circ} \leq \theta<360^{\circ} \)