Simplify to an expression involving a single trigonometric function with no fractions. \( \frac{\cos (-x)}{\tan (-x)}+\sin (-x) \)

Solve \( 2 \cos ^{2}(x)-3 \cos (x)-5=0 \) for all solutions. \( x=\square \) where select an answer Give your answer as an exact value.

Which points are the same as \( \left(18,19^{\circ}\right) \) ? Check all that apply. \( \begin{array}{ll}O\left(-18,-161^{\circ}\right) & \bigcirc\left(-18,199^{\circ}\right) \\ \square\left(18,-341^{\circ}\right) & \bigcirc\left(18,199^{\circ}\right) \\ \left(-18,-379^{\circ}\right) & \left(18,379^{\circ}\right)\end{array} \)

Which points are the same as \( \left(18,19^{\circ}\right) \) ? Check all that apply. \( \begin{array}{ll}\left(-18,-161^{\circ}\right) & \left(-18,199^{\circ}\right) \\ \left(18,-341^{\circ}\right) & \left(18,199^{\circ}\right) \\ \left(-18,-379^{\circ}\right) & \left(18,379^{\circ}\right)\end{array} \)

(i) \( \sin ^{2} 60^{\circ}+\cos ^{2} 60^{\circ}=1 \)

Prove that: \( \frac{\sin A+\sin 2 A}{1+\cos A+\cos 2 A}=\tan A \)