\( 1 - \sin 3 x = ( \sin \frac { x } { 2 } - \cos \frac { x } { 2 } ) ^ { 2 } \)

Solve \( 2 \cos ^{2}(t)+\cos (t)-1=0 \) for all solutions \( 0 \leq t<2 \pi \) \( t=\square \) Give your answers as a list separated by commas

Find all solutions of the equation. \[ \sin x=-\frac{\sqrt{3}}{2} \]

Solve \( 6 \cos ^{2}(t)-5 \cos (t)+1=0 \) for all solutions \( 0 \leq t<2 \pi \) \( t=\square \) Give your answers accurate to 2 decimal places, as a list separated by commas

Solve: \( \quad 0^{\circ} \leq x \leq 90^{\circ} \) \( \tan \left(x+100^{\circ}\right)=\tan x \cdot \tan (x+50) \cdot \tan (x-50) \)

Solve \( \sin (x)=0.79 \) on \( 0 \leq x<2 \pi \). There are two solutions, A and B , with \( \mathrm{A}<\mathrm{B} \). \( \mathrm{A}=\square \) \( \mathrm{B}=\square \) Give your answers accurate to 3 decimal places.