\( \frac { \sin A } { 1 + \cos A } + \frac { 1 - \operatorname { cosec } A } { \sin A } = 2 \operatorname { cosec } A \)

Find an angle \( \theta \) coterminal to \( -555^{\circ} \), where \( 0^{\circ} \leq \theta<360^{\circ} \)

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

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

Find all solutions of the equation \( 2 \cos x-1=0 \). The answer is \( A+B k \pi \) and \( C+D k \pi \) where \( k \) is any integer, \( 0<A<C<2 \pi \), \( A=\square, D=\square \) \( C=\square \)

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.