Solve \( 4 \cos (2 x)=4 \cos ^{2}(x)-1 \) for all solutions \( 0 \leq x<2 \pi \) \( x=\square \) Give your answers accurate to at least 2 decimal places and in a list separated by commas.

Without using a calculator, compute the sine and cosine of \( 120^{\circ} \) by using the reference angle. What is the reference angle? In what quadrant is this angle? \( \sin \left(120^{\circ}\right)=\square \) degrees. \( \cos \left(120^{\circ}\right)=\square \) (Type sqrt(2) for \( \sqrt{2} \) and sqrt(3) for \( \sqrt{3} \).)

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

Find the exact values of the six trig functions. Give an exact answer. No decimals!!! \( \sin \left(300^{\circ}\right)=\square \) \( \cos \left(300^{\circ}\right)=\square \) \( \tan \left(300^{\circ}\right)=\square \) \( \csc \left(300^{\circ}\right)=\square \) \( \sec \left(300^{\circ}\right)=\square \) \( \cot \left(300^{\circ}\right)=\square \)

\begin{tabular}{l} (b) Using the formula \( \operatorname{Sin} 2 A=2 \operatorname{Sin} A \operatorname{Cos} A \) \\ solve the equation \( \sin 2 x-\cos x=0 \) \\ in the interval \( 0^{\circ} \leq x \leq 360^{\circ} \) \\ \hline\end{tabular}

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) \( \cot (\theta)=\square \)