If \( \sin (\theta)=-\frac{2}{3} \), and \( \theta \) is in quadrant IV, then find (a) \( \cos (\theta)=\square \) (b) \( \tan (\theta)=\square \) (c) \( \sec (\theta)=\square \) (d) \( \csc (\theta)=\square \) (e) \( \cot (\theta)=\square \)

\( \frac { 4 \sin \frac { \alpha } { 2 } \cos \frac { \alpha } { 2 } } { \tan \frac { \alpha } { 2 } } - 1 \)

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

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

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, \( 0<A<C<2 \pi \), \( A=\square, D=\square \) \( C=\square \)

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